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<span class="kw">let </span><font color="Maroon" title="c47">P</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">s</font> being   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">m3</font>, <font color="Olive" title="b3">md</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">m3</font> &amp; <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">md</font> &amp; <font color="Olive" title="b3">md</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b4">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b4">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b4">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b4">m5</font>, <font color="Olive" title="b5">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b4">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">mE3</font> &amp; <font color="Olive" title="b5">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b4">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">m3</font> &amp; <font color="Olive" title="b4">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b6">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b6">i</font> &amp; <font color="Olive" title="b6">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b5">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b6">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b4">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Olive" title="b1">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b5">mE3</font></span>)</span> ) ) )</span><br/>

<span class="kw">set </span><font color="Maroon" title="c48">a</font> =  <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> ;<br/>
<span class="kw">let </span><font color="Maroon" title="c49">s</font> be   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">m3</font>, <font color="Olive" title="b2">md</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m3</font> &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">md</font> &amp; <font color="Olive" title="b2">md</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b3">m5</font>, <font color="Olive" title="b4">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">mE3</font> &amp; <font color="Olive" title="b4">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m3</font> &amp; <font color="Olive" title="b3">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b5">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b4">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b5">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b4">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c50">m3</font>, <font color="Maroon" title="c51">md</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> &amp; <font color="Maroon" title="c51">md</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) ) )</span><br/>



<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25"/><span class="lab"><font color="Green" title="E23">A1</font></span>: 
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">and </span><br/><a NAME="E2:25"/><span class="lab"><font color="Green" title="E24">A2</font></span>: 
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">and </span><br/><a NAME="E3:25"/><span class="lab"><font color="Green" title="E25">A3</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">and </span><br/><a NAME="E4:25"/><span class="lab"><font color="Green" title="E26">A4</font></span>: 
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">and </span><br/><a NAME="E5:25"/><span class="lab"><font color="Green" title="E27">A5</font></span>: 
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font>
 <span class="kw">and </span><br/><a NAME="E6:25"/><span class="lab"><font color="Green" title="E28">A6</font></span>: 
<font color="Maroon" title="c51">md</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/>

<a NAME="E7:25"/>
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25"><span class="lab"><font color="Green" title="E24">A2</font></span></a>, <a class="ref" href="int_1.html#T7" title="INT_1:th.7">INT_1:7</a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c52">m7</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#T3" title="INT_1:th.3">INT_1:3</a>, <a class="ref" href="xreal_1.html#T48" title="XREAL_1:th.48">XREAL_1:48</a></span>;<br/>
<a NAME="E9:25"/><span class="lab"><font color="Green" title="E29">A7</font></span>: 
<font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c52">m7</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 
;<br/>
<span class="kw">defpred </span><font color="Maroon">S<sub>1</sub></font>[   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ] <span class="kw">means </span> for <font color="Olive" title="b1">t</font> being   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a><br/>  for <font color="Olive" title="b2">Q</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  st <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> $1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b3">m5</font>, <font color="Olive" title="b4">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">mE3</font> &amp; <font color="Olive" title="b4">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b3">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b5">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b5">i</font> &amp; <font color="Olive" title="b5">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b4">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b5">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b3">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">Q</font>,<font color="Olive" title="b1">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b4">mE3</font></span>)</span> ) ) );<br/>
<div><span class="lab"><font color="Green" title="E30">A8</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c53">k</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c53">k</font>] implies <font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1] )</span><br/><span class="kw">assume </span><a NAME="E1:25_1"/><span class="lab"><font color="Green" title="E31">A9</font></span>: 
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c53">k</font>]
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1]</span><br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c54">t</font> be   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">Q</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>2</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive">b<sub>4</sub></font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>3</sub></font>,<font color="Olive" title="b2">i</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">i</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> ) &amp;  ex <font color="Olive" title="b2">m5</font>, <font color="Olive" title="b3">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>5</sub></font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b2">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive">b<sub>6</sub></font> &amp; <font color="Olive">b<sub>6</sub></font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive">b<sub>5</sub></font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>6</sub></font></span>)</span> ) &amp; ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b3">mE3</font>,<font color="Olive" title="b2">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>5</sub></font></span>)</span> ) ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c55">Q</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">i</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive">b<sub>5</sub></font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive">b<sub>4</sub></font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>5</sub></font></span>)</span> ) &amp; ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> ) ) ) )</span><br/><span class="kw">set </span><font color="Maroon" title="c56">b</font> =  <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7);<br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_1_1"/><span class="lab"><font color="Green" title="E32">A10</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">and </span><br/><a NAME="E2:25_1_1"/><span class="lab"><font color="Green" title="E33">A11</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 <span class="kw">and </span><br/><a NAME="E3:25_1_1"/><span class="lab"><font color="Green" title="E34">A12</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">and </span><br/><a NAME="E4:25_1_1"/><span class="lab"><font color="Green" title="E35">A13</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">and </span><br/><a NAME="E5:25_1_1"/><span class="lab"><font color="Green" title="E36">A14</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">i</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive">b<sub>5</sub></font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive">b<sub>4</sub></font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>5</sub></font></span>)</span> ) &amp; ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> ) ) )</span><br/><span class="kw">reconsider </span><font color="Maroon" title="c57">me</font> = <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="ref" href="int_1.html#T3" title="INT_1:th.3">INT_1:3</a></span>;<br/><span class="kw">set </span><font color="Maroon" title="c58">It</font> =  <a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p2">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>);<br/><span class="kw">set </span><font color="Maroon" title="c59">IT</font> = <font color="Maroon" title="c55">Q</font>;<br/><a NAME="E7:25_1_1"/><span class="lab"><font color="Green" title="E37">A24</font></span>: 
( <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E8:25_1_1"/><span class="lab"><font color="Green" title="E38">A25</font></span>: 
 <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p1">(<span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="ref" href="scmp_gcd.html#T1" title="SCMP_GCD:th.1">SCMP_GCD:1</a></span>;<br/><div><span class="lab"><font color="Green" title="E39">A26</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1_1_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c60">v</font> be   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">V</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  st <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c60">v</font>,<font color="Olive" title="b1">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c60">v</font>,<font color="Olive" title="b1">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">let </span><font color="Maroon" title="c61">V</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> ) )</span><br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_1_1_1"/><span class="lab"><font color="Green" title="E40">A27</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">and </span><br/><a NAME="E2:25_1_1_1"/><span class="lab"><font color="Green" title="E41">A28</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">and </span><br/><a NAME="E3:25_1_1_1"/><span class="lab"><font color="Green" title="E42">A29</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">and </span><br/><a NAME="E4:25_1_1_1"/><span class="lab"><font color="Green" title="E43">A30</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">reconsider </span><font color="Maroon" title="c62">ME</font> = <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="ref" href="int_1.html#T3" title="INT_1:th.3">INT_1:3</a></span>;<br/><a NAME="E6:25_1_1_1"/><span class="lab"><font color="Green" title="E44">A38</font></span>: 
<font color="Maroon" title="c62">ME</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ;<br/><span class="kw">hence </span><a NAME="E7:25_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">thus </span><a NAME="E8:25_1_1_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c60">v</font>,<font color="Maroon" title="c61">V</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_6.html#T20" title="SCMPDS_6:th.20">SCMPDS_6:20</a>, <a class="ref" href="scmpds_6.html#T21" title="SCMPDS_6:th.21">SCMPDS_6:21</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><a NAME="E9:25_1_1_1"/><span class="lab"><font color="Green" title="E45">A39</font></span>: 
( <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">ME</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span></span>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_1_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:25_1_1_1_1_1"/>
( <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">ME</font></span>)</span> or <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">ME</font></span>)</span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_1_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_1_1_1_1"/><span class="lab"><font color="Green" title="E46">A40</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">ME</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:25_1_1_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E9:25_1_1_1"><span class="lab"><font color="Green" title="E45">A39</font></span></a>, <a class="ref" href="xreal_1.html#T146" title="XREAL_1:th.146">XREAL_1:146</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8</span><br/><a NAME="E3:25_1_1_1_1_1_1"/><span class="lab"><font color="Green" title="E47">A41</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_1.html#T29" title="XREAL_1:th.29">XREAL_1:29</a></span>;<br/><a NAME="E4:25_1_1_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="#E1:25_1_1_1_1_1_1"><span class="lab"><font color="Green" title="E46">A40</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E5:25_1_1_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E3:25_1_1_1_1_1_1"><span class="lab"><font color="Green" title="E47">A41</font></span></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_1_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_1_1_1_2"/><span class="lab"><font color="Green" title="E46">A42</font></span>: 
<font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">ME</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:25_1_1_1_1_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="#E4:25_1_1_1"><span class="lab"><font color="Green" title="E43">A30</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8</span><br/><span class="kw">thus </span><a NAME="E3:25_1_1_1_1_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="#E1:25_1_1_1_1_1_2"><span class="lab"><font color="Green" title="E46">A42</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div><span class="kw">thus </span><a NAME="E11:25_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c61">V</font>,<font color="Maroon" title="c60">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_1"><span class="lab"><font color="Green" title="E40">A27</font></span></a>, <a class="txt" href="#E2:25_1_1_1"><span class="lab"><font color="Green" title="E41">A28</font></span></a>, <a class="txt" href="#E3:25_1_1_1"><span class="lab"><font color="Green" title="E42">A29</font></span></a>, <a class="txt" href="#E6:25_1_1_1"><span class="lab"><font color="Green" title="E44">A38</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><a NAME="E10:25_1_1"/><span class="lab"><font color="Green" title="E40">A43</font></span>: 
( <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E11:25_1_1"/><span class="lab"><font color="Green" title="E41">A44</font></span>: 
<font color="Maroon" title="c57">me</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ;<br/><a NAME="E12:25_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E42">A45</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E13:25_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E43">A46</font></span>: 
 <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p1">(<span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmp_gcd.html#T1" title="SCMP_GCD:th.1">SCMP_GCD:1</a></span>;<br/><a NAME="E14:25_1_1"/><span class="lab"><font color="Green" title="E44">A47</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E11:25_1_1"><span class="lab"><font color="Green" title="E41">A44</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E15:25_1_1"/><span class="lab"><font color="Green" title="E45">A48</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E11:25_1_1"><span class="lab"><font color="Green" title="E41">A44</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E16:25_1_1"/><span class="lab"><font color="Green" title="E46">A49</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E11:25_1_1"><span class="lab"><font color="Green" title="E41">A44</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E17:25_1_1"/><span class="lab"><font color="Green" title="E47">B47</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E18:25_1_1"/><span class="lab"><font color="Green" title="E48">B48</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E19:25_1_1"/><span class="lab"><font color="Green" title="E49">B49</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:25_1_1_2"/>
( <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> or <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2_1"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_2_1"/><span class="lab"><font color="Green" title="E50">A50</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">i</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive">b<sub>5</sub></font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive">b<sub>4</sub></font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>5</sub></font></span>)</span> ) &amp; ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> ) ) )</span><br/><div class="add"><a NAME="E2:25_1_1_2_1"/><span class="kw">then </span>
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="ref" href="xreal_1.html#T29" title="XREAL_1:th.29">XREAL_1:29</a></span>;<br/><a NAME="E3:25_1_1_2_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E51">A51</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></span>;<br/><a NAME="E4:25_1_1_2_1"/><span class="lab"><font color="Green" title="E52">A52</font></span>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1"><span class="lab"><font color="Green" title="E50">A50</font></span></a></span>;<br/><a NAME="E5:25_1_1_2_1"/><span class="lab"><font color="Green" title="E53">X1</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E6:25_1_1_2_1"/><span class="lab"><font color="Green" title="E54">X2</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E7:25_1_1_2_1"/><span class="lab"><font color="Green" title="E55">X3</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><span class="kw">consider </span><font color="Maroon" title="c60">m5</font>, <font color="Maroon" title="c61">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <span class="kw"> such that </span><br/><a NAME="E9:25_1_1_2_1"/><span class="lab"><font color="Green" title="E56">A53</font></span>: 
<font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span>
 <span class="kw">and </span><br/><a NAME="E10:25_1_1_2_1"/><span class="lab"><font color="Green" title="E57">A54</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c61">mE3</font>
 <span class="kw">and </span><br/><a NAME="E11:25_1_1_2_1"/><span class="lab"><font color="Green" title="E58">A55</font></span>: 
<font color="Maroon" title="c61">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">and </span><br/><a NAME="E12:25_1_1_2_1"/><span class="lab"><font color="Green" title="E59">A56</font></span>: 
<font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">and </span><br/><a NAME="E13:25_1_1_2_1"/><span class="lab"><font color="Green" title="E60">A57</font></span>: 
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 <span class="kw">and </span><br/><a NAME="E14:25_1_1_2_1"/><span class="lab"><font color="Green" title="E61">A58</font></span>: 
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href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>;<br/><a NAME="E15:25_1_1_2_1"/><span class="lab"><font color="Green" title="E62">A59</font></span>: 
 <a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p1">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>) <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a>  <a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p1">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E9:25_1_1"><span class="lab"><font color="Green" title="E39">A26</font></span></a>, <a class="ref" href="scpqsort.html#T6" target="_self" title="SCPQSORT:th.6">Th6</a></span>;<br/><span class="kw">hence </span><a NAME="E16:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E17:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E14:25_1_1"><span class="lab"><font color="Green" title="E44">A47</font></span></a>, <a class="txt" href="#E17:25_1_1"><span class="lab"><font color="Green" title="E47">B47</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E18:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E19:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E20:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E15:25_1_1"><span class="lab"><font color="Green" title="E45">A48</font></span></a>, <a class="txt" href="#E18:25_1_1"><span class="lab"><font color="Green" title="E48">B48</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><div><span class="lab"><font color="Green" title="E63">A60</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1_1_2_1_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c62">i</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c62">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 implies <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span> )</span><br/><span class="kw">assume </span><a NAME="E1:25_1_1_2_1_1"/><span class="lab"><font color="Green" title="E64">A62</font></span>: 
<font color="Maroon" title="c62">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span></span><br/><a NAME="E2:25_1_1_2_1_1"/>
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><span class="kw">hence </span><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1"><span class="lab"><font color="Green" title="E31">A9</font></span></a>, <a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a>, <a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E19:25_1_1"><span class="lab"><font color="Green" title="E49">B49</font></span></a>, <a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E3:25_1_1_2_1"><span class="lab"><font color="Green" title="E51">A51</font></span></a>, <a class="txt" href="#E4:25_1_1_2_1"><span class="lab"><font color="Green" title="E52">A52</font></span></a>, <a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E5:25_1_1_2_1"><span class="lab"><font color="Green" title="E53">X1</font></span></a>, <a class="txt" href="#E6:25_1_1_2_1"><span class="lab"><font color="Green" title="E54">X2</font></span></a>, <a class="txt" href="#E7:25_1_1_2_1"><span class="lab"><font color="Green" title="E55">X3</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1_1"><span class="lab"><font color="Green" title="E64">A62</font></span></a></span>
<br/>.= 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c62">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E11:25_1_1"><span class="lab"><font color="Green" title="E41">A44</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1_1"><span class="lab"><font color="Green" title="E64">A62</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>
;<br/> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E22:25_1_1_2_1"/>
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c62">m5</font> = <font color="Maroon" title="c60">m5</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">mE3</font> &amp; <font color="Olive" title="b1">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c63">mE3</font> = <font color="Maroon" title="c61">mE3</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c63">mE3</font> &amp; <font color="Maroon" title="c63">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E23:25_1_1_2_1"/>
<font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E9:25_1_1"><span class="lab"><font color="Green" title="E39">A26</font></span></a>, <a class="txt" href="#E9:25_1_1_2_1"><span class="lab"><font color="Green" title="E56">A53</font></span></a>, <a class="ref" href="scpqsort.html#T6" target="_self" title="SCPQSORT:th.6">Th6</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c63">mE3</font> &amp; <font color="Maroon" title="c63">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E24:25_1_1_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c63">mE3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E9:25_1_1"><span class="lab"><font color="Green" title="E39">A26</font></span></a>, <a class="txt" href="#E10:25_1_1_2_1"><span class="lab"><font color="Green" title="E57">A54</font></span></a>, <a class="ref" href="scpqsort.html#T6" target="_self" title="SCPQSORT:th.6">Th6</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c63">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E25:25_1_1_2_1"/>
<font color="Maroon" title="c63">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E11:25_1_1_2_1"><span class="lab"><font color="Green" title="E58">A55</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E26:25_1_1_2_1"/>
<font color="Maroon" title="c62">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:25_1_1"><span class="lab"><font color="Green" title="E37">A24</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1"><span class="lab"><font color="Green" title="E50">A50</font></span></a>, <a class="txt" href="#E12:25_1_1_2_1"><span class="lab"><font color="Green" title="E59">A56</font></span></a>, <a class="ref" href="xreal_1.html#T146" title="XREAL_1:th.146">XREAL_1:146</a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> ) )</span><br/><a NAME="E27:25_1_1_2_1"/><span class="lab"><font color="Green" title="E64">A63</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1"><span class="lab"><font color="Green" title="E50">A50</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> )</span>
<div class="add"><span class="kw">let </span><font color="Maroon" title="c64">i</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c64">i</font> &amp; <font color="Maroon" title="c64">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font> implies <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>1</sub></font></span>)</span> )</span><br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_1_1_2_1_2"/><span class="lab"><font color="Green" title="E65">A64</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c64">i</font>
 <span class="kw">and </span><br/><a NAME="E2:25_1_1_2_1_2"/><span class="lab"><font color="Green" title="E66">A65</font></span>: 
<font color="Maroon" title="c64">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c63">mE3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span><br/><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2_1_2_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:25_1_1_2_1_2_1"/>
( <font color="Maroon" title="c64">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> or <font color="Maroon" title="c64">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2_1_2_1_1"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_2_1_2_1_1"/><span class="lab"><font color="Green" title="E67">A66</font></span>: 
<font color="Maroon" title="c64">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span><br/><div class="add"><a NAME="E2:25_1_1_2_1_2_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E21:25_1_1_2_1"><span class="lab"><font color="Green" title="E63">A60</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E3:25_1_1_2_1_2_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c64">i</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1"><span class="lab"><font color="Green" title="E50">A50</font></span></a>, <a class="txt" href="#E21:25_1_1_2_1"><span class="lab"><font color="Green" title="E63">A60</font></span></a>, <a class="txt" href="#E1:25_1_1_2_1_2_1_1"><span class="lab"><font color="Green" title="E67">A66</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2_1_2_1_2"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_2_1_2_1_2"/>
<font color="Maroon" title="c64">i</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span><br/><div class="add"><a NAME="E2:25_1_1_2_1_2_1_2"/><span class="kw">then </span>
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c64">i</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1_1_2_1_2"><span class="lab"><font color="Green" title="E65">A64</font></span></a>, <a class="ref" href="xxreal_0.html#T1" title="XXREAL_0:th.1">XXREAL_0:1</a></span>;<br/><a NAME="E3:25_1_1_2_1_2_1_2"/><span class="kw">then </span>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c64">i</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E27:25_1_1_2_1"><span class="lab"><font color="Green" title="E64">A63</font></span></a>, <a class="ref" href="int_1.html#T7" title="INT_1:th.7">INT_1:7</a></span>;<br/><span class="kw">hence </span><a NAME="E4:25_1_1_2_1_2_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c64">i</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E13:25_1_1_2_1"><span class="lab"><font color="Green" title="E60">A57</font></span></a>, <a class="txt" href="#E2:25_1_1_2_1_2"><span class="lab"><font color="Green" title="E66">A65</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div><span class="kw">thus </span><a NAME="E29:25_1_1_2_1"/>
( <font color="Maroon" title="c62">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c63">mE3</font></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:25_1_1_2_1"><span class="lab"><font color="Green" title="E62">A59</font></span></a>, <a class="txt" href="#E14:25_1_1_2_1"><span class="lab"><font color="Green" title="E61">A58</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_1_1_2_2"><span class="kw">suppose </span></a><a NAME="E1:25_1_1_2_2"/><span class="lab"><font color="Green" title="E50">A67</font></span>: 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>1</sub></font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">i</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>3</sub></font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>3</sub></font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive">b<sub>4</sub></font> &amp; <font color="Olive">b<sub>4</sub></font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive">b<sub>3</sub></font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">m5</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive">b<sub>5</sub></font> &amp; <font color="Olive">b<sub>5</sub></font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive">b<sub>4</sub></font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>5</sub></font></span>)</span> ) &amp; ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b2">mE3</font>,<font color="Olive" title="b1">m5</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive">b<sub>4</sub></font></span>)</span> ) ) )</span><br/><div class="add"><div><span class="lab"><font color="Green" title="E51">A68</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1_1_2_2_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c60">x</font> be    <a href="scmpds_2.html#M1" title="SCMPDS_2:mode.1">Int_position</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font></span><br/><a NAME="E1:25_1_1_2_2_1"/><span class="lab"><font color="Green" title="E52">X1</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E2:25_1_1_2_2_1"/><span class="lab"><font color="Green" title="E53">X2</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font> = 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E8:25_1_1"><span class="lab"><font color="Green" title="E38">A25</font></span></a>, <a class="txt" href="#E9:25_1_1"><span class="lab"><font color="Green" title="E39">A26</font></span></a>, <a class="ref" href="scpqsort.html#T6" target="_self" title="SCPQSORT:th.6">Th6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E13:25_1_1"><span class="lab"><font color="Green" title="E43">A46</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2"><span class="lab"><font color="Green" title="E50">A67</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2_1"><span class="lab"><font color="Green" title="E52">X1</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2_1"><span class="lab"><font color="Green" title="E53">X2</font></span></a>, <a class="ref" href="scmpds_8.html#T23" title="SCMPDS_8:th.23">SCMPDS_8:23</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c60">x</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E3:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:25_1_1"><span class="lab"><font color="Green" title="E42">A45</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E4:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:25_1_1"><span class="lab"><font color="Green" title="E44">A47</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E5:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2"><span class="lab"><font color="Green" title="E50">A67</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E6:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:25_1_1"><span class="lab"><font color="Green" title="E46">A49</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E7:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E15:25_1_1"><span class="lab"><font color="Green" title="E45">A48</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><div><span class="lab"><font color="Green" title="E52">A69</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_1_1_2_2_2"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c60">i</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 implies <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span> )</span><br/><span class="kw">assume </span><a NAME="E1:25_1_1_2_2_2"/><span class="lab"><font color="Green" title="E53">A71</font></span>: 
<font color="Maroon" title="c60">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>
<br/>.= 
<font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E32">A10</font></span></a>, <a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E5:25_1_1"><span class="lab"><font color="Green" title="E36">A14</font></span></a>, <a class="txt" href="#E11:25_1_1"><span class="lab"><font color="Green" title="E41">A44</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2_2"><span class="lab"><font color="Green" title="E53">A71</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E9:25_1_1_2_2"/>
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c60">m5</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1</span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">mE3</font> &amp; <font color="Olive" title="b1">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c61">mE3</font> = <font color="Maroon" title="c57">me</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c61">mE3</font> &amp; <font color="Maroon" title="c61">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E10:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">m5</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2"><span class="lab"><font color="Green" title="E50">A67</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c61">mE3</font> &amp; <font color="Maroon" title="c61">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E11:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c61">mE3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:25_1_1"><span class="lab"><font color="Green" title="E40">A43</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2"><span class="lab"><font color="Green" title="E50">A67</font></span></a>, <a class="txt" href="#E2:25_1_1_2_2"><span class="lab"><font color="Green" title="E51">A68</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c61">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E12:25_1_1_2_2"/>
<font color="Maroon" title="c61">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a>, <a class="txt" href="#E3:25_1_1"><span class="lab"><font color="Green" title="E34">A12</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E13:25_1_1_2_2"/>
<font color="Maroon" title="c60">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_1_1"><span class="lab"><font color="Green" title="E33">A11</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E14:25_1_1_2_2"/>
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c61">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> )</span><br/><a NAME="E15:25_1_1_2_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c54">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c57">me</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_1_1"><span class="lab"><font color="Green" title="E35">A13</font></span></a>, <a class="txt" href="#E8:25_1_1_2_2"><span class="lab"><font color="Green" title="E52">A69</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E16:25_1_1_2_2"/>
( <font color="Maroon" title="c60">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c55">Q</font>,<font color="Maroon" title="c54">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">mE3</font></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_1_1_2_2"><span class="lab"><font color="Green" title="E50">A67</font></span></a>, <a class="txt" href="#E8:25_1_1_2_2"><span class="lab"><font color="Green" title="E52">A69</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E3:25_1"/>
<font color="Maroon">S<sub>1</sub></font>[<font color="Maroon" title="c53">k</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1]
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c53">t</font> be   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">Q</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b2">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b3">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">mE3</font> &amp; <font color="Olive" title="b3">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b2">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b2">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">i</font> &amp; <font color="Olive" title="b4">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b4">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b2">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Olive" title="b1">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">let </span><font color="Maroon" title="c54">Q</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) ) )</span><br/><span class="kw">set </span><font color="Maroon" title="c55">b</font> =  <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7);<br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_2"/><span class="lab"><font color="Green" title="E31">A72</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">and </span><br/><a NAME="E2:25_2"/><span class="lab"><font color="Green" title="E32">A73</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 <span class="kw">and </span><br/><a NAME="E3:25_2"/><span class="lab"><font color="Green" title="E33">A74</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">and </span><br/><a NAME="E4:25_2"/><span class="lab"><font color="Green" title="E34">A75</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">and </span><br/><a NAME="E5:25_2"/><span class="lab"><font color="Green" title="E35">A76</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c51">md</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">reconsider </span><font color="Maroon" title="c56">me</font> = <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="ref" href="int_1.html#T3" title="INT_1:th.3">INT_1:3</a></span>;<br/><span class="kw">set </span><font color="Maroon" title="c57">It</font> =  <a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p2">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p3">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>);<br/><span class="kw">set </span><font color="Maroon" title="c58">IT</font> = <font color="Maroon" title="c54">Q</font>;<br/><a NAME="E7:25_2"/><span class="lab"><font color="Green" title="E36">A86</font></span>: 
( <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E8:25_2"/><span class="lab"><font color="Green" title="E37">A87</font></span>: 
 <a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p1">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <span class="p1">(<span class="default"><a href="numbers.html#K6" title="NUMBERS:func.6">0</a> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="ref" href="scmp_gcd.html#T1" title="SCMP_GCD:th.1">SCMP_GCD:1</a></span>;<br/><div><span class="lab"><font color="Green" title="E38">A88</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2_1"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c59">v</font> be   <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="memstr_0.html#V4" title="MEMSTR_0:attr.4">-started</a>  <a href="memstr_0.html#NM2" title="MEMSTR_0:NM.2">State</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">V</font> being   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>  st <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  holds <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c59">v</font>,<font color="Olive" title="b1">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c59">v</font>,<font color="Olive" title="b1">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Olive" title="b1">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">let </span><font color="Maroon" title="c60">V</font> be   <a href="compos_1.html#NM2" title="COMPOS_1:NM.2">Instruction-Sequence</a> of <a href="scmpds_2.html#K1" title="SCMPDS_2:func.1">SCMPDS</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> ) )</span><br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_2_1"/><span class="lab"><font color="Green" title="E39">A89</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">and </span><br/><a NAME="E2:25_2_1"/><span class="lab"><font color="Green" title="E40">A90</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">and </span><br/><a NAME="E3:25_2_1"/><span class="lab"><font color="Green" title="E41">A91</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">and </span><br/><a NAME="E4:25_2_1"/><span class="lab"><font color="Green" title="E42">A92</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">reconsider </span><font color="Maroon" title="c61">ME</font> = <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> as    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="ref" href="int_1.html#T3" title="INT_1:th.3">INT_1:3</a></span>;<br/><a NAME="E6:25_2_1"/><span class="lab"><font color="Green" title="E43">A93</font></span>: 
<font color="Maroon" title="c61">ME</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ;<br/><a NAME="E7:25_2_1"/><span class="lab"><font color="Green" title="E44">A96</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span>
 ;<br/><span class="kw">thus </span><a NAME="E8:25_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a>, <a class="txt" href="#E7:25_2_1"><span class="lab"><font color="Green" title="E44">A96</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><span class="kw">thus </span><a NAME="E9:25_2_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R1" title="SCMPDS_6:pred.1">is_closed_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p5">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p4">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p3">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p1">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p4">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p3">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span> <a href="scmpds_6.html#R2" title="SCMPDS_6:pred.2">is_halting_on</a> <font color="Maroon" title="c59">v</font>,<font color="Maroon" title="c60">V</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_6.html#T20" title="SCMPDS_6:th.20">SCMPDS_6:20</a>, <a class="ref" href="scmpds_6.html#T21" title="SCMPDS_6:th.21">SCMPDS_6:21</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> )</span><br/><a NAME="E10:25_2_1"/><span class="lab"><font color="Green" title="E45">A101</font></span>: 
( <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span></span>)</span> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> 1 ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span></span>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_1_1_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:25_2_1_1_1"/>
( <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span> or <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_1_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:25_2_1_1_1_1"/><span class="lab"><font color="Green" title="E46">A102</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:25_2_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:25_2"><span class="lab"><font color="Green" title="E37">A87</font></span></a>, <a class="txt" href="#E10:25_2_1"><span class="lab"><font color="Green" title="E45">A101</font></span></a>, <a class="ref" href="xreal_1.html#T146" title="XREAL_1:th.146">XREAL_1:146</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8</span><br/><a NAME="E3:25_2_1_1_1_1"/><span class="lab"><font color="Green" title="E47">A103</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1 <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xreal_1.html#T29" title="XREAL_1:th.29">XREAL_1:29</a></span>;<br/><a NAME="E4:25_2_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="#E1:25_2_1_1_1_1"><span class="lab"><font color="Green" title="E46">A102</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E5:25_2_1_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E3:25_2_1_1_1_1"><span class="lab"><font color="Green" title="E47">A103</font></span></a>, <a class="ref" href="xxreal_0.html#T2" title="XXREAL_0:th.2">XXREAL_0:2</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_1_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:25_2_1_1_1_2"/><span class="lab"><font color="Green" title="E46">A104</font></span>: 
<font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">ME</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 )</span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:25_2_1_1_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E8:25_2"><span class="lab"><font color="Green" title="E37">A87</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="#E4:25_2_1"><span class="lab"><font color="Green" title="E42">A92</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8</span><br/><span class="kw">thus </span><a NAME="E3:25_2_1_1_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="#E1:25_2_1_1_1_2"><span class="lab"><font color="Green" title="E46">A104</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div><span class="kw">thus </span><a NAME="E12:25_2_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c60">V</font>,<font color="Maroon" title="c59">v</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">v</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E1:25_2_1"><span class="lab"><font color="Green" title="E39">A89</font></span></a>, <a class="txt" href="#E2:25_2_1"><span class="lab"><font color="Green" title="E40">A90</font></span></a>, <a class="txt" href="#E3:25_2_1"><span class="lab"><font color="Green" title="E41">A91</font></span></a>, <a class="txt" href="#E6:25_2_1"><span class="lab"><font color="Green" title="E43">A93</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><a NAME="E10:25_2"/><span class="lab"><font color="Green" title="E39">A105</font></span>: 
( <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span> implies ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E11:25_2"/><span class="lab"><font color="Green" title="E40">A106</font></span>: 
<font color="Maroon" title="c56">me</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 ;<br/><a NAME="E12:25_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E41">A107</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><a NAME="E13:25_2"/><span class="kw">then </span><span class="lab"><font color="Green" title="E42">A108</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E7:25_2"><span class="lab"><font color="Green" title="E36">A86</font></span></a>, <a class="txt" href="#E10:25_2"><span class="lab"><font color="Green" title="E39">A105</font></span></a>, <a class="ref" href="scmp_gcd.html#T1" title="SCMP_GCD:th.1">SCMP_GCD:1</a></span>;<br/><div><span class="lab"><font color="Green" title="E43">A109</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2_2"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c59">x</font> be    <a href="scmpds_2.html#M1" title="SCMPDS_2:mode.1">Int_position</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font></span><br/><a NAME="E1:25_2_2"/><span class="lab"><font color="Green" title="E44">X1</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><a NAME="E2:25_2_2"/><span class="lab"><font color="Green" title="E45">X2</font></span>: 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K3" title="SCMPDS_2:func.3">DataLoc</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a></span>)</span>,7)</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>;<br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font> = 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<span class="p2">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p3">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p2">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p5">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p0">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span></span>)</span>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E8:25_2"><span class="lab"><font color="Green" title="E37">A87</font></span></a>, <a class="txt" href="#E9:25_2"><span class="lab"><font color="Green" title="E38">A88</font></span></a>, <a class="ref" href="scpqsort.html#T6" target="_self" title="SCPQSORT:th.6">Th6</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="memstr_0.html#K6" title="MEMSTR_0:func.6">Initialize</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span></span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E13:25_2"><span class="lab"><font color="Green" title="E42">A108</font></span></a>, <a class="txt" href="#E1:25_2_2"><span class="lab"><font color="Green" title="E44">X1</font></span></a>, <a class="txt" href="#E2:25_2_2"><span class="lab"><font color="Green" title="E45">X2</font></span></a>, <a class="ref" href="scmpds_8.html#T23" title="SCMPDS_8:th.23">SCMPDS_8:23</a></span>
<br/>.= 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <font color="Maroon" title="c59">x</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_5.html#T15" title="SCMPDS_5:th.15">SCMPDS_5:15</a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E15:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:25_2"><span class="lab"><font color="Green" title="E41">A107</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><a NAME="E16:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E11:25_2"><span class="lab"><font color="Green" title="E40">A106</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E17:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><span class="kw">thus </span><a NAME="E18:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E7:25_2"><span class="lab"><font color="Green" title="E36">A86</font></span></a>, <a class="txt" href="#E10:25_2"><span class="lab"><font color="Green" title="E39">A105</font></span></a>, <a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><a NAME="E19:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E11:25_2"><span class="lab"><font color="Green" title="E40">A106</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E20:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><a NAME="E21:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E11:25_2"><span class="lab"><font color="Green" title="E40">A106</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>;<br/><span class="kw">hence </span><a NAME="E22:25_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )</span><br/><div><span class="lab"><font color="Green" title="E44">A110</font></span>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="25_2_3"><span class="kw">now </span></a><div class="add"><span class="kw">let </span><font color="Maroon" title="c59">i</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 implies <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span> )</span><br/><span class="kw">assume </span><a NAME="E1:25_2_3"/><span class="lab"><font color="Green" title="E45">A111</font></span>: 
<font color="Maroon" title="c59">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span></span><br/><span class="kw">thus </span><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span> = 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p4">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p3">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p0">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p4">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p5">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a></span>
<br/>.= 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c59">i</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E1:25_2"><span class="lab"><font color="Green" title="E31">A72</font></span></a>, <a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E5:25_2"><span class="lab"><font color="Green" title="E35">A76</font></span></a>, <a class="txt" href="#E11:25_2"><span class="lab"><font color="Green" title="E40">A106</font></span></a>, <a class="txt" href="#E1:25_2_3"><span class="lab"><font color="Green" title="E45">A111</font></span></a>, <a class="txt" href="scpqsort.html#E23"><span class="lab"><font color="Green" title="E21">Lm14</font></span></a></span>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><span class="kw">hence </span><a NAME="E24:25_2"/>
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) )</span><br/><a NAME="E25:25_2"/><span class="lab"><font color="Green" title="E45">A113</font></span>: 
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:25_2"><span class="lab"><font color="Green" title="E34">A75</font></span></a>, <a class="txt" href="#E23:25_2"><span class="lab"><font color="Green" title="E44">A110</font></span></a></span>;<br/><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span>
<div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_4_1"><span class="kw">per </span></a><a class="txt" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:25_2_4_1"/>
( <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span> or <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span> )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_4_1_1"><span class="kw">suppose </span></a><a NAME="E1:25_2_4_1_1"/><span class="lab"><font color="Green" title="E46">A114</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) )</span><br/><div class="add"><span class="kw">take </span><font color="Maroon" title="c59">m5</font> =  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">mE3</font> &amp; <font color="Olive" title="b1">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c60">mE3</font> = <font color="Maroon" title="c50">m3</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font> &amp; <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E2:25_2_4_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E7:25_2"><span class="lab"><font color="Green" title="E36">A86</font></span></a>, <a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a>, <a class="txt" href="#E1:25_2_4_1_1"><span class="lab"><font color="Green" title="E46">A114</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font> &amp; <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E3:25_2_4_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E3:25_2"><span class="lab"><font color="Green" title="E33">A74</font></span></a>, <a class="txt" href="#E7:25_2"><span class="lab"><font color="Green" title="E36">A86</font></span></a>, <a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a>, <a class="txt" href="#E1:25_2_4_1_1"><span class="lab"><font color="Green" title="E46">A114</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E4:25_2_4_1_1"/>
<font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E5:25_2_4_1_1"/>
<font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><div><span class="kw">hereby </span> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> )</span>
<div class="add"><span class="kw">let </span><font color="Maroon" title="c61">i</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c61">i</font> &amp; <font color="Maroon" title="c61">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> implies <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">i</font></span>)</span> )</span><br/><span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E1:25_2_4_1_1_1"/><span class="lab"><font color="Green" title="E47">A115</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c61">i</font>
 <span class="kw">and </span><br/><a NAME="E2:25_2_4_1_1_1"/><span class="lab"><font color="Green" title="E48">A116</font></span>: 
<font color="Maroon" title="c61">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">i</font></span>)</span></span><br/><a NAME="E3:25_2_4_1_1_1"/>
<font color="Maroon" title="c61">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c56">me</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E3:25_2"><span class="lab"><font color="Green" title="E33">A74</font></span></a>, <a class="txt" href="#E2:25_2_4_1_1_1"><span class="lab"><font color="Green" title="E48">A116</font></span></a>, <a class="ref" href="nat_1.html#T13" title="NAT_1:th.13">NAT_1:13</a></span>;<br/><a NAME="E4:25_2_4_1_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c61">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_2_4_1_1_1"><span class="lab"><font color="Green" title="E47">A115</font></span></a>, <a class="ref" href="xxreal_0.html#T1" title="XXREAL_0:th.1">XXREAL_0:1</a></span>;<br/><span class="kw">hence </span><a NAME="E5:25_2_4_1_1_1"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c61">i</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E23:25_2"><span class="lab"><font color="Green" title="E44">A110</font></span></a>, <a class="txt" href="#E25:25_2"><span class="lab"><font color="Green" title="E45">A113</font></span></a>, <a class="txt" href="#E1:25_2_4_1_1"><span class="lab"><font color="Green" title="E46">A114</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div>
<span class="kw">end;</span></div><span class="kw">thus </span><a NAME="E7:25_2_4_1_1"/>
( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> )
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="25_2_4_1_2"><span class="kw">suppose </span></a><a NAME="E1:25_2_4_1_2"/><span class="lab"><font color="Green" title="E46">A117</font></span>: 
<font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c56">me</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">m5</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  ex <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) )</span><br/><div class="add"><span class="kw">take </span><font color="Maroon" title="c59">m5</font> = 1; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  ex <font color="Olive" title="b1">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">mE3</font> &amp; <font color="Olive" title="b1">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b2">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">i</font> &amp; <font color="Olive" title="b2">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b1">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">mE3</font></span>)</span> ) )</span><br/><span class="kw">take </span><font color="Maroon" title="c60">mE3</font> = <font color="Maroon" title="c56">me</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font> &amp; <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E2:25_2_4_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c59">m5</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E10:25_2"><span class="lab"><font color="Green" title="E39">A105</font></span></a>, <a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a>, <a class="txt" href="#E1:25_2_4_1_2"><span class="lab"><font color="Green" title="E46">A117</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font> &amp; <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E3:25_2_4_1_2"/>
<span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c60">mE3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:25_2"><span class="lab"><font color="Green" title="E39">A105</font></span></a>, <a class="txt" href="#E14:25_2"><span class="lab"><font color="Green" title="E43">A109</font></span></a>, <a class="txt" href="#E1:25_2_4_1_2"><span class="lab"><font color="Green" title="E46">A117</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E4:25_2_4_1_2"/>
<font color="Maroon" title="c60">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a>, <a class="txt" href="#E3:25_2"><span class="lab"><font color="Green" title="E33">A74</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E5:25_2_4_1_2"/>
<font color="Maroon" title="c59">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:25_2"><span class="lab"><font color="Green" title="E32">A73</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp; ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> ) )</span><br/><span class="kw">thus </span><a NAME="E6:25_2_4_1_2"/>
 for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c53">t</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">i</font> &amp; <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Maroon" title="c60">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> )</span><br/><span class="kw">thus </span><a NAME="E7:25_2_4_1_2"/>
( <font color="Maroon" title="c59">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c54">Q</font>,<font color="Maroon" title="c53">t</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c60">mE3</font></span>)</span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:25"><span class="lab"><font color="Green" title="E28">A6</font></span></a>, <a class="txt" href="#E23:25_2"><span class="lab"><font color="Green" title="E44">A110</font></span></a>, <a class="txt" href="#E25:25_2"><span class="lab"><font color="Green" title="E45">A113</font></span></a>, <a class="txt" href="#E1:25_2_4_1_2"><span class="lab"><font color="Green" title="E46">A117</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div></div>
<span class="kw">end;</span></div></div><span class="kw">end;</span></div>
<a NAME="E12:25"/><span class="kw">then </span><span class="lab"><font color="Green" title="E31">A118</font></span>: 
<font color="Maroon">S<sub>1</sub></font>[ <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ]
 
;<br/>
<a NAME="E13:25"/>
 for <font color="Olive" title="b1">k</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  holds  <font color="Maroon">S<sub>1</sub></font>[<font color="Olive" title="b1">k</font>]
 
<span class="kw">from</span> <span class="lab"><a class="ref" href="nat_1.html#S1" title="NAT_1:sch.1">NAT_1:sch 1</a>(<a class="txt" href="#E12:25"><span class="lab"><font color="Green" title="E31">A118</font></span></a>, <a class="txt" href="#E10:25"><span class="lab"><font color="Green" title="E30">A8</font></span></a>);<br/></span>
<span class="kw">hence </span><a NAME="E14:25"/>
( <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 1</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 4</span>)</span> &amp; (  for <font color="Olive" title="b1">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Olive" title="b1">i</font> <a href="xxreal_0.html#NR2" title="XXREAL_0:NR.2">&gt;=</a> 8 holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b1">i</font></span>)</span> ) &amp;  ex <font color="Olive" title="b1">m5</font>, <font color="Olive" title="b2">mE3</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  st <br/>( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 5</span>)</span> &amp; <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">mE3</font> &amp; <font color="Olive" title="b2">mE3</font> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c50">m3</font> &amp; <font color="Olive" title="b1">m5</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 7</span>)</span> &amp; (  for <font color="Olive" title="b3">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>   st <font color="Maroon" title="c49">s</font> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">i</font> &amp; <font color="Olive" title="b3">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b2">mE3</font> holds <br/><span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b3">i</font></span>)</span> ) &amp; ( <font color="Olive" title="b1">m5</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  or <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Maroon" title="c51">md</font></span>)</span> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K6" title="SCMPDS_4:func.6">IExec</a> (<span class="p2">(<span class="default"><a href="scmpds_8.html#K2" title="SCMPDS_8:func.2">while&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7,<span class="p2">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6) <a href="scmpds_2.html#K17" title="SCMPDS_2:func.17">:=</a> (<span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 2</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K3" title="SCMPDS_4:func.3">';'</a> <span class="p5">(<span class="default"><a href="scmpds_2.html#K14" title="SCMPDS_2:func.14">SubFrom</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p0">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> 3</span>)</span>,<a href="numbers.html#K6" title="NUMBERS:func.6">0</a>)</span>)</span></span>)</span> <a href="scmpds_4.html#K1" title="SCMPDS_4:func.1">';'</a> <span class="p4">(<span class="default"><a href="scmpds_6.html#K3" title="SCMPDS_6:func.3">if&gt;0</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,6,<span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,3,1)</span>)</span> <a href="scmpds_4.html#K4" title="SCMPDS_4:func.4">';'</a> <span class="p0">(<span class="default"><a href="scmpds_2.html#K12" title="SCMPDS_2:func.12">AddTo</a> (<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,5,<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> 1</span>)</span>)</span>)</span></span>)</span>,<span class="p5">(<span class="default"><a href="compos_1.html#K14" title="COMPOS_1:func.14">Load</a> <span class="p0">(<span class="default">(<a href="scmp_gcd.html#K2" title="SCMP_GCD:func.2">GBP</a>,7) <a href="scmpds_2.html#K11" title="SCMPDS_2:func.11">:=</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a></span>)</span></span>)</span>)</span>)</span></span>)</span>)</span>)</span>,<font color="Maroon" title="c47">P</font>,<font color="Maroon" title="c49">s</font>)</span>)</span> <a href="scmpds_2.html#K2" title="SCMPDS_2:func.2">.</a> <span class="p1">(<span class="default"><a href="scmp_gcd.html#K1" title="SCMP_GCD:func.1">intpos</a> <font color="Olive" title="b2">mE3</font></span>)</span> ) ) )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25"><span class="lab"><font color="Green" title="E23">A1</font></span></a>, <a class="txt" href="#E3:25"><span class="lab"><font color="Green" title="E25">A3</font></span></a>, <a class="txt" href="#E4:25"><span class="lab"><font color="Green" title="E26">A4</font></span></a>, <a class="txt" href="#E5:25"><span class="lab"><font color="Green" title="E27">A5</font></span></a>, <a class="txt" href="#E9:25"><span class="lab"><font color="Green" title="E29">A7</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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