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<a NAME="E1:2_1_1"/><i><font color="Green">E42</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <font color="Maroon">iv</font> <a href="hidden.html#R1">=</a>  <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">IIG</font> &amp;  <a href="relat_1.html#K1">dom</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">SCS</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">IIG</font> )
 
<b>by </b><i><a class="ref" href="pboole.html#D3">PBOOLE:def 3</a></i>;<br/>
<a NAME="E2:2_1_1"/><b>then </b>
for <font color="Olive">x</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <font color="Maroon">iv</font> holds <br/><font color="Maroon">iv</font> <a href="funct_1.html#K1">.</a> <font color="Olive">x</font> <a href="hidden.html#R2">in</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">SCS</font> <a href="funct_1.html#K1">.</a> <font color="Olive">x</font>
 
<b>by </b><i><a class="ref" href="msafree2.html#D5">MSAFREE2:def 5</a></i>;<br/>
<b>hence </b><a NAME="E3:2_1_1"/>
<font color="Maroon">s</font> <a href="funct_4.html#K1">+*</a> <font color="Maroon">iv</font> is   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">SCS</font>
 <b>by </b><i>, <a class="ref" href="pre_circ.html#T9">PRE_CIRC:9</a></i>;<br/>


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