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<b>set </b><font color="Maroon">FOR</font> =  <a href="scmpds_7.html#K1" target="_self">for-up</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font>,<font color="Maroon">I</font>;<br/>
<b>set </b><font color="Maroon">i1</font> = <font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span>;<br/>
<b>set </b><font color="Maroon">i2</font> =  <a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font>;<br/>
<b>set </b><font color="Maroon">i3</font> =  <a href="scmpds_2.html#K4">goto</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">PF</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmpds_4.html#K1">Load</a> <span class="p3">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span>;<br/>
<a NAME="E1:63_1_1"/><i><font color="Green">E49</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmpds_4.html#K1">Load</a> <span class="p3">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span> <a href="scmpds_4.html#K4">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#D4">SCMPDS_4:def 4</a></i>;<br/>
<b>then </b> <a href="card_1.html#K4">card</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K1">Load</a> <span class="p4">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span> <a href="scmpds_4.html#K4">';'</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 1
<b>by </b><i><a class="ref" href="scmp_gcd.html#T8">SCMP_GCD:8</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 1</span>)</span> <a href="nat_1.html#K1">+</a> 1
<b>by </b><i><a class="ref" href="scmpds_6.html#T15">SCMPDS_6:15</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default">1 <a href="nat_1.html#K1">+</a> 1</span>)</span>

;<br/>
<a NAME="E3:63_1_1"/><b>then </b><i><font color="Green">E50</font></i>: 
<span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="scmpds_4.html#K1">Load</a> <span class="p5">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p3">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span></span>)</span></span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p1">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> 0
 
;<br/>
<a NAME="E4:63_1_1"/>
 <a href="scmpds_7.html#K1" target="_self">for-up</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font>,<font color="Maroon">I</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="scmpds_4.html#K1">Load</a> <span class="p4">(<span class="default"><font color="Maroon">a</font>,<font color="Maroon">i</font> <a href="scmpds_2.html#K10">&gt;=0_goto</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 3</span>)</span></span>)</span></span>)</span> <a href="scmpds_4.html#K3">';'</a> <font color="Maroon">I</font></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p2">(<span class="default"><a href="scmpds_2.html#K12">AddTo</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font></span>)</span></span>)</span> <a href="scmpds_4.html#K5">';'</a> <span class="p1">(<span class="default"><a href="scmpds_2.html#K4">goto</a> <span class="p2">(<span class="default"><a href="xcmplx_0.html#K4">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="card_1.html#K4">card</a> <font color="Maroon">I</font></span>)</span> <a href="nat_1.html#K1">+</a> 2</span>)</span></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="scmpds_7.html#T1" target="_self">Th1</a></i>;<br/>
<b>hence </b><a NAME="E5:63_1_1"/>
 <a href="scmpds_7.html#K1" target="_self">for-up</a> <font color="Maroon">a</font>,<font color="Maroon">i</font>,<font color="Maroon">n</font>,<font color="Maroon">I</font> is <a href="scmpds_4.html#V3">shiftable</a>
 <b>by </b><i><a class="txt" href="scmpds_7.html#E1:63_1_1"><i><font color="Green">E49</font></i></a>, <a class="ref" href="scmpds_4.html#T78">SCMPDS_4:78</a></i>;<br/>


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