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<b>let </b><font color="Maroon">i</font> be   <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/>

<b>consider </b><font color="Maroon">UIL</font> being   <a href="funct_2.html#NM1">Function</a> of the <a href="ami_1.html#U4">Instructions</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> , <a href="finsub_1.html#K5">Fin</a> <a href="scmfsa_2.html#K2">Int-Locations</a> <b> such that </b><br/><a NAME="E2:37"/><i><font color="Green">E32</font></i>: 
( ( for <font color="Olive">i</font> being  <a href="ami_1.html#NM3">Instruction</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a>  holds  <font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a>  <a href="sf_mastr.html#K1" target="_self">UsedIntLoc</a> <font color="Olive">i</font> ) &amp;  <a href="sf_mastr.html#K2" target="_self">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K3">Union</a> <span class="p1">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span></span>)</span> )
 <b>by </b><i/>;<br/>
<a NAME="E3:37"/><i><font color="Green">E33</font></i>: 
 <a href="scmfsa_2.html#K5">insloc</a> 0 <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="scmfsa_2.html#K5">insloc</a> 1
 
<b>by </b><i><a class="ref" href="scmfsa_2.html#T18">SCMFSA_2:18</a></i>;<br/>
<i><font color="Green">E35</font></i>:  <a href="relat_1.html#K2">rng</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span> = 
 <a href="relset_1.html#K5">rng</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 0</span>)</span>,<span class="p2">(<span class="default"><a href="scmfsa_2.html#K5">insloc</a> 1</span>)</span> <a href="funct_4.html#K5">--&gt;</a> <font color="Maroon">i</font>,<span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="scmfsa6a.html#D2">SCMFSA6A:def 2</a></i>
<br/>.= 
<span class="p1"><a href="tarski.html#K2">{</a><span class="default"><font color="Maroon">i</font>,<span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span><a href="tarski.html#K2">}</a></span>
<b>by </b><i><a class="txt" href="sf_mastr.html#E2:37"><i><font color="Green">E32</font></i></a>, <a class="ref" href="funct_4.html#T67">FUNCT_4:67</a></i>
;<br/>
<a NAME="E5:37"/><i><font color="Green">E36</font></i>: 
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">UIL</font> <a href="hidden.html#R1">=</a> the <a href="ami_1.html#U4">Instructions</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> 
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<b>thus </b> <a href="sf_mastr.html#K2" target="_self">UsedIntLoc</a> <span class="p1">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span> = 
 <a href="tarski.html#K3">union</a> <span class="p1">(<span class="default"><a href="relat_1.html#K2">rng</a> <span class="p2">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="card_3.html#D4">CARD_3:def 4</a></i>
<br/>.= 
 <a href="tarski.html#K3">union</a> <span class="p1">(<span class="default"><font color="Maroon">UIL</font> <a href="relset_1.html#K10">.:</a> <span class="p2">(<span class="default"><a href="relat_1.html#K2">rng</a> <span class="p3">(<span class="default"><a href="scmfsa6a.html#K2">Macro</a> <font color="Maroon">i</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T160">RELAT_1:160</a></i>
<br/>.= 
 <a href="tarski.html#K3">union</a> <span class="p1"><a href="tarski.html#K2">{</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span>)</span></span><a href="tarski.html#K2">}</a></span>
<b>by </b><i><a class="txt" href="sf_mastr.html#E3:37"><i><font color="Green">E33</font></i></a>, , <a class="ref" href="funct_1.html#T118">FUNCT_1:118</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span> <a href="setwiseo.html#K5">\/</a> <span class="p1">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="zfmisc_1.html#T93">ZFMISC_1:93</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="sf_mastr.html#K1" target="_self">UsedIntLoc</a> <font color="Maroon">i</font></span>)</span> <a href="setwiseo.html#K5">\/</a> <span class="p1">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="sf_mastr.html#K1" target="_self">UsedIntLoc</a> <font color="Maroon">i</font></span>)</span> <a href="setwiseo.html#K5">\/</a> <span class="p1">(<span class="default"><a href="sf_mastr.html#K1" target="_self">UsedIntLoc</a> <span class="p2">(<span class="default"><a href="ami_1.html#K5">halt</a> <a href="scmfsa_2.html#K1">SCM+FSA</a> </span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="sf_mastr.html#K1" target="_self">UsedIntLoc</a> <font color="Maroon">i</font>
<b>by </b><i/>
;<br/>


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