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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E4">Def2</font></span>   defines <a href="circuit2.html#K3" title="CIRCUIT2:func.3">Fix_inp_ext</a> <a onclick="hs(this)" href="javascript:()">CIRCUIT2:def 2 : <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="msafree2.html#V5" title="MSAFREE2:attr.5">monotonic</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">A</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">iv</font> being    <a href="msafree2.html#M1" title="MSAFREE2:mode.1">InputValues</a> of <font color="Olive" title="b2">A</font><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="msualg_3.html#NM1" title="MSUALG_3:NM.1">ManySortedFunction</a> of <span class="p1">(<span class="default"><a href="msafree2.html#K5" title="MSAFREE2:func.5">FreeEnv</a> <font color="Olive" title="b2">A</font></span>)</span>,<span class="p1">(<span class="default"><a href="msafree2.html#K5" title="MSAFREE2:func.5">FreeEnv</a> <font color="Olive" title="b2">A</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="circuit2.html#K3" title="CIRCUIT2:func.3">Fix_inp_ext</a> <font color="Olive" title="b3">iv</font> iff ( <font color="Olive">b<sub>4</sub></font> <a href="msualg_3.html#R1" title="MSUALG_3:pred.1">is_homomorphism</a>  <a href="msafree2.html#K5" title="MSAFREE2:func.5">FreeEnv</a> <font color="Olive" title="b2">A</font>, <a href="msafree2.html#K5" title="MSAFREE2:func.5">FreeEnv</a> <font color="Olive" title="b2">A</font> &amp;  <a href="circuit2.html#K2" title="CIRCUIT2:func.2">Fix_inp</a> <font color="Olive" title="b3">iv</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Olive">b<sub>4</sub></font> ) );<br/></span></div>
