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<b>let </b><font color="Maroon">l</font> be   <a href="ami_1.html#NM2">Instruction-Location</a> of <a href="scmfsa_2.html#K1">SCM+FSA</a> ;<br/><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>set </b><font color="Maroon">p</font> = <font color="Maroon">l</font> <a href="ami_3.html#K14">.--&gt;</a> <font color="Maroon">i</font>;<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="E2:3"/><i><font color="Green">E33</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">UsedIntLoc</a> <font color="Olive">i</font>
 <b>and </b><br/><a NAME="E3:3"/><i><font color="Green">E34</font></i>: 
 <a href="sf_mastr.html#K2">UsedIntLoc</a> <span class="p1">(<span class="default"><font color="Maroon">l</font> <a href="ami_3.html#K14">.--&gt;</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"><font color="Maroon">l</font> <a href="ami_3.html#K14">.--&gt;</a> <font color="Maroon">i</font></span>)</span></span>)</span>
 <b>by </b><i><a class="ref" href="sf_mastr.html#D2">SF_MASTR:def 2</a></i>;<br/>
<a NAME="E4:3"/><i><font color="Green">E36</font></i>: 
 <a href="relat_1.html#K1">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">UsedIntLoc</a> <span class="p1">(<span class="default"><font color="Maroon">l</font> <a href="ami_3.html#K14">.--&gt;</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"><span class="p4"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">l</font></span><a href="tarski.html#K1">}</a></span> <a href="funcop_1.html#K2">--&gt;</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"><a href="relat_1.html#K2">rng</a> <span class="p2">(<span class="default"><span class="p3"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">l</font></span><a href="tarski.html#K1">}</a></span> <a href="funcop_1.html#K2">--&gt;</a> <span class="p3">(<span class="default"><font color="Maroon">UIL</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, <a class="ref" href="funcop_1.html#T23">FUNCOP_1:23</a></i>
<br/>.= 
 <a href="tarski.html#K3">union</a> <span class="p1"><a href="tarski.html#K1">{</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><a href="tarski.html#K1">}</a></span>
<b>by </b><i><a class="ref" href="funcop_1.html#T14">FUNCOP_1:14</a></i>
<br/>.= 
 <a href="tarski.html#K3">union</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="sf_mastr.html#K1">UsedIntLoc</a> <font color="Maroon">i</font></span>)</span></span><a href="tarski.html#K1">}</a></span>
<b>by </b><i/>
<br/>.= 
 <a href="sf_mastr.html#K1">UsedIntLoc</a> <font color="Maroon">i</font>
<b>by </b><i><a class="ref" href="zfmisc_1.html#T31">ZFMISC_1:31</a></i>
;<br/>


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