<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">s</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/>

<b>consider </b><font color="Maroon">j</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> <b> such that </b><br/><a NAME="E2:20"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">j</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font> &amp;  <a href="scmpds_2.html#K19">ICplusConst</a> <font color="Maroon">s</font>,1 <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="int_2.html#K1">abs</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">j</font> <a href="xcmplx_0.html#K6">-</a> 2</span>)</span> <a href="xcmplx_0.html#K2">+</a> <span class="p3">(<span class="default">2 <a href="nat_1.html#K2">*</a> 1</span>)</span></span>)</span></span>)</span> <a href="nat_1.html#K1">+</a> 2 )
 <b>by </b><i><a class="ref" href="scmpds_2.html#D20">SCMPDS_2:def 20</a></i>;<br/>
<a NAME="E3:20"/>
<font color="Maroon">j</font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 
<b>by </b><i><a class="ref" href="nat_1.html#T18">NAT_1:18</a></i>;<br/>
<a NAME="E4:20"/><b>then </b><i><font color="Green">E35</font></i>: 
 <a href="scmpds_2.html#K19">ICplusConst</a> <font color="Maroon">s</font>,1 <a href="hidden.html#R1">=</a> <font color="Maroon">j</font> <a href="nat_1.html#K1">+</a> 2
 
<b>by </b><i>, <a class="ref" href="absvalue.html#D1">ABSVALUE:def 1</a></i>;<br/>
<b>consider </b><font color="Maroon">mj</font> being    <a href="subset_1.html#M1">Element</a> of  <a href="ami_2.html#K3">SCM-Instr-Loc</a> <b> such that </b><br/><a NAME="E6:20"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">mj</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font> &amp;  <a href="ami_2.html#K15">Next</a> <font color="Maroon">mj</font> <a href="hidden.html#R1">=</a>  <a href="scmpds_2.html#K18">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> )
 <b>by </b><i><a class="ref" href="scmpds_2.html#D19">SCMPDS_2:def 19</a></i>;<br/>
<b>thus </b><a NAME="E7:20"/>
 <a href="scmpds_2.html#K18">Next</a> <span class="p1">(<span class="default"><a href="ami_1.html#K6">IC</a> <font color="Maroon">s</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmpds_2.html#K19">ICplusConst</a> <font color="Maroon">s</font>,1
 <b>by </b><i>, , , <a class="ref" href="ami_2.html#D15">AMI_2:def 15</a></i>;<br/>


</div>
