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<span class="kw">let </span><font color="Maroon" title="c1">I</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_1.html#K7" title="CARD_1:func.7">Segm</a> 14; <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">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="scmpds_1.html#K1" title="SCMPDS_1:func.1">SCMPDS-Instr</a> <br/>  for <font color="Olive" title="b2">d1</font>, <font color="Olive" title="b3">d2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <br/>  for <font color="Olive" title="b4">k1</font>, <font color="Olive" title="b5">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Olive" title="b2">d1</font>,<font color="Olive" title="b3">d2</font>,<font color="Olive" title="b4">k1</font>,<font color="Olive" title="b5">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</a></span> holds <br/>( <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">d1</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">d2</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">k1</font> &amp; <font color="Olive" title="b1">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">k2</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">x</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="scmpds_1.html#K1" title="SCMPDS_1:func.1">SCMPDS-Instr</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">d1</font>, <font color="Olive" title="b2">d2</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <br/>  for <font color="Olive" title="b3">k1</font>, <font color="Olive" title="b4">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Olive" title="b1">d1</font>,<font color="Olive" title="b2">d2</font>,<font color="Olive" title="b3">k1</font>,<font color="Olive" title="b4">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</a></span> holds <br/>( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">k2</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">d1</font>, <font color="Maroon" title="c4">d2</font> be    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</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">k1</font>, <font color="Olive" title="b2">k2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st <font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Olive" title="b1">k1</font>,<font color="Olive" title="b2">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</a></span> holds <br/>( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">k2</font> )</span><br/><span class="kw">let </span><font color="Maroon" title="c5">k1</font>, <font color="Maroon" title="c6">k2</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</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="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</a></span> implies ( <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> ) )</span><br/>







<a NAME="E1:39"/><span class="lab"><font color="Green" title="E22">A1</font></span>: 
( <font color="Maroon" title="c3">d1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> &amp; <font color="Maroon" title="c4">d2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></span>;<br/>
<a NAME="E2:39"/>
<font color="Maroon" title="c5">k1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></span>;<br/>
<a NAME="E3:39"/><span class="kw">then </span><span class="lab"><font color="Green" title="E23">A2</font></span>: 
<font color="Maroon" title="c5">k1</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></span>;<br/>
<a NAME="E4:39"/>
<font color="Maroon" title="c6">k2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_1.html#D2" title="INT_1:def.2">INT_1:def 2</a></span>;<br/>
<a NAME="E5:39"/><span class="kw">then </span><span class="lab"><font color="Green" title="E24">A3</font></span>: 
<font color="Maroon" title="c6">k2</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D3" title="XBOOLE_0:def.3">XBOOLE_0:def 3</a></span>;<br/>
<span class="kw">assume </span><a NAME="E6:39"/><span class="lab"><font color="Green" title="E25">A4</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="mcart_1.html#K3" title="MCART_1:func.3">[</a><span class="default"><font color="Maroon" title="c1">I</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span></span><a href="mcart_1.html#K3" title="MCART_1:func.3">]</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="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c7">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a><span class="kw"> such that </span><br/><a NAME="E8:39"/><span class="lab"><font color="Green" title="E26">A5</font></span>: 
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="recdef_2.html#K3" title="RECDEF_2:func.3">`3_3</a> 
 <span class="kw">and </span><br/><a NAME="E9:39"/><span class="lab"><font color="Green" title="E27">A6</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 1
 <span class="kw">by</span> <span class="lab"><a class="ref" href="scmpds_1.html#D15" target="_self" title="SCMPDS_1:def.15">Def17</a></span>;<br/>
<a NAME="E10:39"/>
<font color="Maroon" title="c7">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="txt" href="#E8:39"><span class="lab"><font color="Green" title="E26">A5</font></span></a>, <a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E11:39"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K17" title="SCMPDS_1:func.17">P41address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">d1</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:39"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="txt" href="#E3:39"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E5:39"><span class="lab"><font color="Green" title="E24">A3</font></span></a>, <a class="txt" href="#E9:39"><span class="lab"><font color="Green" title="E27">A6</font></span></a>, <a class="ref" href="finseq_4.html#T80" title="FINSEQ_4:th.80">FINSEQ_4:80</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="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c8">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a><span class="kw"> such that </span><br/><a NAME="E13:39"/><span class="lab"><font color="Green" title="E28">A7</font></span>: 
<font color="Maroon" title="c8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="recdef_2.html#K3" title="RECDEF_2:func.3">`3_3</a> 
 <span class="kw">and </span><br/><a NAME="E14:39"/><span class="lab"><font color="Green" title="E29">A8</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c8">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 2
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="ref" href="scmpds_1.html#D16" target="_self" title="SCMPDS_1:def.16">Def18</a></span>;<br/>
<a NAME="E15:39"/>
<font color="Maroon" title="c8">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="txt" href="#E13:39"><span class="lab"><font color="Green" title="E28">A7</font></span></a>, <a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E16:39"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K18" title="SCMPDS_1:func.18">P42address</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">d2</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:39"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="txt" href="#E3:39"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E5:39"><span class="lab"><font color="Green" title="E24">A3</font></span></a>, <a class="txt" href="#E14:39"><span class="lab"><font color="Green" title="E29">A8</font></span></a>, <a class="ref" href="finseq_4.html#T80" title="FINSEQ_4:th.80">FINSEQ_4:80</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="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font> &amp; <font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font> )</span><br/>

<span class="kw">consider </span><font color="Maroon" title="c9">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a><span class="kw"> such that </span><br/><a NAME="E18:39"/><span class="lab"><font color="Green" title="E30">A9</font></span>: 
<font color="Maroon" title="c9">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="recdef_2.html#K3" title="RECDEF_2:func.3">`3_3</a> 
 <span class="kw">and </span><br/><a NAME="E19:39"/><span class="lab"><font color="Green" title="E31">A10</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c9">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 3
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="ref" href="scmpds_1.html#D17" target="_self" title="SCMPDS_1:def.17">Def19</a></span>;<br/>
<a NAME="E20:39"/>
<font color="Maroon" title="c9">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="txt" href="#E18:39"><span class="lab"><font color="Green" title="E30">A9</font></span></a>, <a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E21:39"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K19" title="SCMPDS_1:func.19">P43const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c5">k1</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:39"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="txt" href="#E3:39"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E5:39"><span class="lab"><font color="Green" title="E24">A3</font></span></a>, <a class="txt" href="#E19:39"><span class="lab"><font color="Green" title="E31">A10</font></span></a>, <a class="ref" href="finseq_4.html#T80" title="FINSEQ_4:th.80">FINSEQ_4:80</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="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font></span><br/>

<span class="kw">consider </span><font color="Maroon" title="c10">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <a href="ami_2.html#K4" title="AMI_2:func.4">SCM-Data-Loc</a> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <a href="numbers.html#K4" title="NUMBERS:func.4">INT</a><span class="kw"> such that </span><br/><a NAME="E23:39"/><span class="lab"><font color="Green" title="E32">A11</font></span>: 
<font color="Maroon" title="c10">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">x</font> <a href="recdef_2.html#K3" title="RECDEF_2:func.3">`3_3</a> 
 <span class="kw">and </span><br/><a NAME="E24:39"/><span class="lab"><font color="Green" title="E33">A12</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c10">f</font> <a href="partfun1.html#K7" title="PARTFUN1:func.7">/.</a> 4
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="ref" href="scmpds_1.html#D18" target="_self" title="SCMPDS_1:def.18">Def20</a></span>;<br/>
<a NAME="E25:39"/>
<font color="Maroon" title="c10">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">&lt;*</a><span class="default"><font color="Maroon" title="c3">d1</font>,<font color="Maroon" title="c4">d2</font>,<font color="Maroon" title="c5">k1</font>,<font color="Maroon" title="c6">k2</font></span><a href="finseq_4.html#K7" title="FINSEQ_4:func.7">*&gt;</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:39"><span class="lab"><font color="Green" title="E25">A4</font></span></a>, <a class="txt" href="#E23:39"><span class="lab"><font color="Green" title="E32">A11</font></span></a>, <a class="ref" href="recdef_2.html#D3" title="RECDEF_2:def.3">RECDEF_2:def 3</a></span>;<br/>
<span class="kw">hence </span><a NAME="E26:39"/>
<font color="Maroon" title="c2">x</font> <a href="scmpds_1.html#K20" title="SCMPDS_1:func.20">P44const</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">k2</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:39"><span class="lab"><font color="Green" title="E22">A1</font></span></a>, <a class="txt" href="#E3:39"><span class="lab"><font color="Green" title="E23">A2</font></span></a>, <a class="txt" href="#E5:39"><span class="lab"><font color="Green" title="E24">A3</font></span></a>, <a class="txt" href="#E24:39"><span class="lab"><font color="Green" title="E33">A12</font></span></a>, <a class="ref" href="finseq_4.html#T80" title="FINSEQ_4:th.80">FINSEQ_4:80</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>
