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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th42</font></span>: <a NAME="T42"><span class="comment"><font color="firebrick">:: CIRCTRM1:42</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</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="b3">f</font>, <font color="Olive" title="b4">g</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b5">C1</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">G1</font><br/>  for <font color="Olive" title="b6">C2</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="b2">G2</font>  st <font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">g</font> <a href="circtrm1.html#R4" title="CIRCTRM1:pred.4">form_embedding_of</a> <font color="Olive" title="b5">C1</font>,<font color="Olive" title="b6">C2</font> holds <br/> for <font color="Olive" title="b7">o1</font> being   <a href="circcomb.html#NM1" title="CIRCCOMB:NM.1">Gate</a> of <font color="Olive" title="b1">G1</font><br/>  for <font color="Olive" title="b8">o2</font> being   <a href="circcomb.html#NM1" title="CIRCCOMB:NM.1">Gate</a> of <font color="Olive" title="b2">G2</font>  st <font color="Olive" title="b8">o2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">g</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">o1</font> holds <br/> <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Olive" title="b8">o2</font>,<font color="Olive" title="b6">C2</font>) <a href="funct_2.html#R1" title="FUNCT_2:pred.1">=</a>  <a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<font color="Olive" title="b7">o1</font>,<font color="Olive" title="b5">C1</font>)</div></div>
