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<b>let </b><font color="Maroon">s1</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <font color="Maroon">s2</font> be   <a href="ami_1.html#NM4">State</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<div><b>hereby </b>
<div class="add"><b>assume </b><a NAME="E1:5_1"/><i><font color="Green">E29</font></i>: 
<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="scmfsa_2.html#K1">SCM+FSA</a> 
 ;<br/><b>hence </b><a NAME="E2:5_1"/>
 <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>
 <b>by </b><i><a class="ref" href="scmfsa6a.html#T29">SCMFSA6A:29</a></i>;<br/><a NAME="E3:5_1"/><i><font color="Green">E30</font></i>: 
for <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  holds  <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">a</font>
 <b>by </b><i>, <a class="ref" href="scmfsa6a.html#T30">SCMFSA6A:30</a></i>;<br/><a NAME="E4:5_1"/>
for <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  holds  <font color="Maroon">s1</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">f</font>
 <b>by </b><i>, <a class="ref" href="scmfsa6a.html#T31">SCMFSA6A:31</a></i>;<br/><b>hence </b><a NAME="E5:5_1"/>
<font color="Maroon">s1</font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span>
 <b>by </b><i>, <a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>;<br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E2:5"/><i><font color="Green">E31</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> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><a href="scmfsa_2.html#K2">Int-Locations</a>  <a href="subset_1.html#K4">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> )
 ;<br/>

<a NAME="E3:5"/><b>then </b>
( ( for <font color="Olive">a</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>  holds  <font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">a</font> ) &amp; ( for <font color="Olive">f</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>  holds  <font color="Maroon">s1</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">f</font> ) )
 
<b>by </b><i><a class="ref" href="scmfsa6a.html#T38">SCMFSA6A:38</a></i>;<br/>
<b>hence </b><a NAME="E4:5"/>
<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="scmfsa_2.html#K1">SCM+FSA</a> 
 <b>by </b><i>, <a class="ref" href="scmfsa6a.html#T28">SCMFSA6A:28</a></i>;<br/>


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