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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>let </b><font color="Maroon">I</font> be   <a href="scmpds_4.html#NM1">Program-block</a>, <font color="Maroon">J</font> be   <a href="scmpds_4.html#NM1">Program-block</a>;<br/>



<b>assume </b><a NAME="E1:12"/><i><font color="Green">E41</font></i>: 
<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/>

<b>set </b><font color="Maroon">II</font> =  <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font>;<br/>
<b>set </b><font color="Maroon">S1</font> = <font color="Maroon">s1</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">IJ</font> =  <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font>;<br/>
<b>set </b><font color="Maroon">S2</font> = <font color="Maroon">s2</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font></span>)</span>;<br/>
<i><font color="Green">E42</font></i>: <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a>  = 
<font color="Maroon">s1</font> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> 
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> <a href="ami_2.html#K2">SCM-Data-Loc</a> 
<b>by </b><i>, </i>
;<br/>
<a NAME="E3:12"/>
(  <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">s1</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font></span>)</span> &amp;  <a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">s2</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font></span>)</span> )
 
<b>by </b><i><a class="ref" href="funct_4.html#T26">FUNCT_4:26</a></i>;<br/>
<a NAME="E4:12"/><b>then </b>
(  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmpds_3.html#K2">inspos</a> 0 &amp;  <a href="ami_1.html#K6">IC</a> <span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="ami_5.html#K8">+*</a> <span class="p2">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="scmpds_3.html#K2">inspos</a> 0 )
 
<b>by </b><i><a class="ref" href="scmpds_5.html#T18">SCMPDS_5:18</a></i>;<br/>
<b>hence </b><a NAME="E5:12"/>
<font color="Maroon">s1</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">I</font></span>)</span>,<font color="Maroon">s2</font> <a href="ami_5.html#K8">+*</a> <span class="p1">(<span class="default"><a href="scmpds_4.html#K2">Initialized</a> <font color="Maroon">J</font></span>)</span> <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>, </i>;<br/>


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