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<b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmpds_2.html#K1">SCMPDS</a> ;<br/>

<b>thus </b><a NAME="E1:4"/>
( <font color="Maroon">s1</font>,<font color="Maroon">s2</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmpds_2.html#K1">SCMPDS</a>  implies (  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font> &amp; <font color="Maroon">s1</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a>  ) )
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T29">SCMFSA6A:29</a>, <a class="ref" href="scmpds_4.html#T24">SCMPDS_4:24</a></i>;<br/>

<b>assume </b><a NAME="E2:4"/><i><font color="Green">E41</font></i>: 
(  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a>  <a href="ami_1.html#K6">IC</a> <font color="Maroon">s2</font> &amp; <font color="Maroon">s1</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a>  )
 ;<br/>

<a NAME="E3:4"/><b>then </b>
for <font color="Olive">a</font> being   <a href="scmpds_2.html#M1">Int_position</a>  holds  <font color="Maroon">s1</font> <a href="scmpds_2.html#K2">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmpds_2.html#K2">.</a> <font color="Olive">a</font>
 
<b>by </b><i><a class="ref" href="scmpds_4.html#T23">SCMPDS_4:23</a></i>;<br/>
<b>hence </b><a NAME="E4:4"/>
<font color="Maroon">s1</font>,<font color="Maroon">s2</font> <a href="funct_7.html#R1">equal_outside</a> the <a href="ami_1.html#U2">Instruction-Locations</a> of <a href="scmpds_2.html#K1">SCMPDS</a> 
 <b>by </b><i>, <a class="ref" href="scmpds_4.html#T11">SCMPDS_4:11</a></i>;<br/>


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