<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: CIRCUIT2:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">IIG</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</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">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">InpFs</font> being   <a href="circuit1.html#NM2" title="CIRCUIT1:NM.2">InputFuncs</a> of <font color="Olive" title="b2">SCS</font>  st  <a href="funct_6.html#K9" title="FUNCT_6:func.9">commute</a> <font color="Olive" title="b3">InpFs</font> is  <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>  &amp;  not  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Olive" title="b1">IIG</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  holds <br/> for <font color="Olive" title="b4">s1</font>, <font color="Olive" title="b5">s2</font> being   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">SCS</font> holds  <span class="p1">(<span class="default"><a href="circuit2.html#K9" title="CIRCUIT2:func.9">Computation</a> (<font color="Olive" title="b4">s1</font>,<font color="Olive" title="b3">InpFs</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><a href="circuit1.html#K7" title="CIRCUIT1:func.7">depth</a> <font color="Olive" title="b2">SCS</font></span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a> <span class="p1">(<span class="default"><a href="circuit2.html#K9" title="CIRCUIT2:func.9">Computation</a> (<font color="Olive" title="b5">s2</font>,<font color="Olive" title="b3">InpFs</font>)</span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <span class="p1">(<span class="default"><a href="circuit1.html#K7" title="CIRCUIT1:func.7">depth</a> <font color="Olive" title="b2">SCS</font></span>)</span></div></div>
