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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> ;<br/><b>let </b><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/><b>let </b><font color="Maroon">Iloc</font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="scmfsa_2.html#K2">Int-Locations</a> ;<br/>





<b>set </b><font color="Maroon">FSL</font> =  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> ;<br/>
<a NAME="E1:7"/><i><font color="Green">E35</font></i>: 
 <a href="subset_1.html#K2">[#]</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a>  <a href="hidden.html#R1">=</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> 
 
<b>by </b><i><a class="ref" href="subset_1.html#D4">SUBSET_1:def 4</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="7_1"><b>now </b></a><div class="add"><b>thus </b><a NAME="E1:7_1"/>
( ( for <font color="Olive">x</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">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font> ) implies for <font color="Olive">x</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a>  holds <br/><font color="Maroon">s1</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font> )
 ;<br/><b>assume </b><a NAME="E2:7_1"/><i><font color="Green">E36</font></i>: 
for <font color="Olive">x</font> being   <a href="scmfsa_2.html#M2">FinSeq-Location</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a>  holds <br/><font color="Maroon">s1</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font>
 ;<br/><b>let </b><font color="Maroon">x</font> be    <a href="scmfsa_2.html#M2">FinSeq-Location</a> ;<br/><a NAME="E3:7_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="scmfsa_2.html#K3">FinSeq-Locations</a> 
 <b>by </b><i><a class="ref" href="scmfsa_2.html#T10">SCMFSA_2:10</a></i>;<br/><b>hence </b><a NAME="E4:7_1"/>
<font color="Maroon">s1</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Maroon">x</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:7"/>
( <font color="Maroon">s1</font> <a href="relat_1.html#K7">|</a> <span class="p1">(<span class="default"><font color="Maroon">Iloc</font> <a href="xboole_0.html#K2">\/</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"><font color="Maroon">Iloc</font> <a href="xboole_0.html#K2">\/</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a> </span>)</span> iff ( ( for <font color="Olive">x</font> being   <a href="scmfsa_2.html#M1">Int-Location</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a> <font color="Maroon">Iloc</font> holds <br/><font color="Maroon">s1</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K20">.</a> <font color="Olive">x</font> ) &amp; ( for <font color="Olive">x</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">x</font> <a href="hidden.html#R1">=</a> <font color="Maroon">s2</font> <a href="scmfsa_2.html#K21">.</a> <font color="Olive">x</font> ) ) )
 <b>by </b><i>, </i>;<br/>


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