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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th48</font></span>: <a NAME="T48"><span class="comment"><font color="firebrick">:: CIRCCMB3:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>   <a href="circcmb3.html#M1" title="CIRCCMB3:mode.1">Signature</a> of <font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b3">A</font> being    <a href="circcmb3.html#M2" title="CIRCCMB3:mode.2">Circuit</a> of <font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">S</font><br/>  for <font color="Olive" title="b4">n</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> <br/>  for <font color="Olive" title="b5">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Olive" title="b4">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b1">X</font></span>)</span>,<font color="Olive" title="b1">X</font><br/>  for <font color="Olive" title="b6">p</font> being   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Olive" title="b4">n</font>  st  not  <a href="circcmb3.html#K3" title="CIRCCMB3:func.3">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K4" title="CIRCCMB3:func.4">1GateCircStr</a> (<font color="Olive" title="b6">p</font>,<font color="Olive" title="b5">f</font>)</span>)</span> <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="b2">S</font> holds <br/> for <font color="Olive" title="b7">s</font> being   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Olive" title="b3">A</font> <a href="circcmb3.html#K7" title="CIRCCMB3:func.7">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K5" title="CIRCCMB3:func.5">1GateCircuit</a> (<font color="Olive" title="b6">p</font>,<font color="Olive" title="b5">f</font>)</span>)</span></span>)</span><br/>  for <font color="Olive" title="b8">s9</font> being   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b3">A</font>  st <font color="Olive" title="b8">s9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">s</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b7">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b8">s9</font></span>)</span></div></div>
