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<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#K3">FinSeq-Locations</a> <b> such that </b><br/><a NAME="E2:46_1_1"/><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#K3" target="_self">UsedInt*Loc</a> <font color="Olive">i</font> ) &amp;  <a href="sf_mastr.html#K4" target="_self">UsedInt*Loc</a> <font color="Maroon">p</font> <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> <font color="Maroon">p</font></span>)</span> )
 <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">dp</font> =  <a href="relat_1.html#K1">dom</a> <font color="Maroon">p</font> as  <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a>  <b>by </b><i><a class="ref" href="finset_1.html#T29">FINSET_1:29</a></i>;<br/>
<a NAME="E4:46_1_1"/>
 <a href="relat_1.html#K2">rng</a> <font color="Maroon">p</font> <a href="tarski.html#R1">c=</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="scmfsa_4.html#T1">SCMFSA_4:1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">p'</font> = <font color="Maroon">p</font> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">dp</font>,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#T4">FUNCT_2:4</a></i>;<br/>
<b>reconsider </b><font color="Maroon">Up</font> = <font color="Maroon">UIL</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">p'</font> as   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">dp</font>, <a href="finsub_1.html#K5">Fin</a> <a href="scmfsa_2.html#K3">FinSeq-Locations</a>  ;<br/>
<a NAME="E7:46_1_1"/>
 <a href="card_3.html#K3">Union</a> <font color="Maroon">Up</font> is <a href="finset_1.html#V1">finite</a>
 
;<br/>
<b>hence </b><a NAME="E8:46_1_1"/>
 <a href="sf_mastr.html#K4" target="_self">UsedInt*Loc</a> <font color="Maroon">p</font> is <a href="finset_1.html#V1">finite</a>
 <b>by </b><i/>;<br/>


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