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<b>set </b><font color="Maroon">sc</font> =  <a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font>;<br/>
<a NAME="E1:21_1_1"/><i><font color="Green">E42</font></i>: 
(  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="msafree2.html#K1">SortsWithConstants</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/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="21_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:21_1_1_1"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font></span>)</span>
 ;<br/><b>then reconsider </b><font color="Maroon">v</font> = <font color="Maroon">x</font> as   <a href="msafree2.html#NM1">Vertex</a> of <font color="Maroon">IIG</font> <b>by </b><i/>;<br/><a NAME="E3:21_1_1_1"/>
<span class="p1">(<span class="default"><a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="msualg_2.html#K1">Constants</a> <font color="Maroon">SCS</font>,<font color="Maroon">v</font>
 <b>by </b><i>, <a class="ref" href="circuit1.html#D1">CIRCUIT1:def 1</a></i>;<br/><b>hence </b><a NAME="E4:21_1_1_1"/>
<span class="p1">(<span class="default"><a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">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="Maroon">x</font>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:21_1_1"/>
<span class="p1">(<span class="default"><font color="Maroon">s</font> <a href="circuit2.html#K1" target="_self">+*</a> <span class="p2">(<span class="default">0 <a href="circuit1.html#K2">-th_InputValues</a> <font color="Maroon">InpFs</font></span>)</span></span>)</span> <a href="funct_4.html#K1">+*</a> <span class="p1">(<span class="default"><a href="circuit1.html#K1">Set-Constants</a> <font color="Maroon">SCS</font></span>)</span> 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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