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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E16">Def5</font></span>   defines <a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <a onclick="hs(this)" href="javascript:()">CIRCUIT2:def 5 : <br/></a><span> for <font color="Olive" title="b1">IIG</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="msafree2.html#V2" title="MSAFREE2:attr.2">Circuit-like</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">SCS</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <a href="circuit1.html#NM1" title="CIRCUIT1:NM.1">Circuit</a> of <font color="Olive" title="b1">IIG</font><br/>  for <font color="Olive" title="b3">s</font>, <font color="Olive">b<sub>4</sub></font> being   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">SCS</font> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="circuit2.html#K6" title="CIRCUIT2:func.6">Following</a> <font color="Olive" title="b3">s</font> iff  for <font color="Olive" title="b5">v</font> being   <a href="msafree2.html#NM1" title="MSAFREE2:NM.1">Vertex</a> of <font color="Olive" title="b1">IIG</font> holds <br/> ( ( <font color="Olive" title="b5">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Olive" title="b1">IIG</font> implies <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">v</font> ) &amp; ( <font color="Olive" title="b5">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="msafree2.html#K3" title="MSAFREE2:func.3">InnerVertices</a> <font color="Olive" title="b1">IIG</font> implies <font color="Olive">b<sub>4</sub></font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<span class="p2">(<span class="default"><a href="msafree2.html#K4" title="MSAFREE2:func.4">action_at</a> <font color="Olive" title="b5">v</font></span>)</span>,<font color="Olive" title="b2">SCS</font>)</span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K4" title="MSAFREE2:func.4">action_at</a> <font color="Olive" title="b5">v</font></span>)</span> <a href="circuit1.html#K3" title="CIRCUIT1:func.3">depends_on_in</a> <font color="Olive" title="b3">s</font></span>)</span> ) ) );<br/></span></div>
