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<b>let </b><font color="Maroon" title="c1">X</font> be  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#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">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="Maroon" title="c1">X</font><br/> for <font color="Olive" title="b2">A</font> being   <a href="circcmb3.html#M2" title="CIRCCMB3:mode.2">Circuit</a> of <font color="Maroon" title="c1">X</font>,<font color="Olive" title="b1">S</font><br/> for <font color="Olive" title="b3">n</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <br/> for <font color="Olive" title="b4">f</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b3">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font><br/> for <font color="Olive" title="b5">p</font> being   <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Olive" title="b3">n</font>  st not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Olive" title="b5">p</font>,<font color="Olive" title="b4">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Olive" title="b1">S</font> holds <br/>for <font color="Olive" title="b6">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="b2">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Olive" title="b5">p</font>,<font color="Olive" title="b4">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b7">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b2">A</font>  st <font color="Olive" title="b7">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b6">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b7">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c2">S</font> be  <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="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">A</font> being   <a href="circcmb3.html#M2" title="CIRCCMB3:mode.2">Circuit</a> of <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">S</font><br/> for <font color="Olive" title="b2">n</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <br/> for <font color="Olive" title="b3">f</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b2">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font><br/> for <font color="Olive" title="b4">p</font> being   <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Olive" title="b2">n</font>  st not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> holds <br/>for <font color="Olive" title="b5">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="b1">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b6">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Olive" title="b1">A</font>  st <font color="Olive" title="b6">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b5">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b6">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c3">A</font> be    <a href="circcmb3.html#M2" title="CIRCCMB3:mode.2">Circuit</a> of <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c2">S</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">n</font> being   <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> <br/> for <font color="Olive" title="b2">f</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font><br/> for <font color="Olive" title="b3">p</font> being   <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Olive" title="b1">n</font>  st not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Olive" title="b3">p</font>,<font color="Olive" title="b2">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> holds <br/>for <font color="Olive" title="b4">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Olive" title="b3">p</font>,<font color="Olive" title="b2">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b5">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b5">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b4">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b5">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c4">n</font> be    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">f</font> being  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c4">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font><br/> for <font color="Olive" title="b2">p</font> being   <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Maroon" title="c4">n</font>  st not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Olive" title="b2">p</font>,<font color="Olive" title="b1">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> holds <br/>for <font color="Olive" title="b3">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Olive" title="b2">p</font>,<font color="Olive" title="b1">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b4">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b4">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b3">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b4">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c5">f</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Maroon" title="c4">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Maroon" title="c1">X</font>,<font color="Maroon" title="c1">X</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">p</font> being   <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Maroon" title="c4">n</font>  st not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Olive" title="b1">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> holds <br/>for <font color="Olive" title="b2">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Olive" title="b1">p</font>,<font color="Maroon" title="c5">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b3">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b3">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b2">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b3">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c6">p</font> be    <a href="circcomb.html#M1" title="CIRCCOMB:mode.1">FinSeqLen</a> of <font color="Maroon" title="c4">n</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> implies for <font color="Olive" title="b1">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b2">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b2">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b1">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b2">s'</font></span>)</span> )</span><br/>











<b>assume </b><a NAME="E1:95"/><i><font color="Green" title="E51">A1</font></i>: 
not  <a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">s</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span></span>)</span><br/> for <font color="Olive" title="b2">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b2">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b1">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b2">s'</font></span>)</span></span><br/>

<b>let </b><font color="Maroon" title="c7">s</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c3">A</font> <a href="circcmb3.html#K9" title="CIRCCMB3:func.9">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">s'</font> being  <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>  st <font color="Olive" title="b1">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> holds <br/> <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c7">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Olive" title="b1">s'</font></span>)</span></span><br/><b>let </b><font color="Maroon" title="c8">s'</font> be   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <font color="Maroon" title="c3">A</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c8">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font> implies  <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c7">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c8">s'</font></span>)</span> )</span><br/>



<b>assume </b><a NAME="E2:95"/><i><font color="Green" title="E52">A2</font></i>: 
<font color="Maroon" title="c8">s'</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">s</font> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">S</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c7">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c8">s'</font></span>)</span></span><br/>

<a NAME="E3:95"/>
<font color="Maroon" title="c3">A</font> <a href="circcomb.html#R2" title="CIRCCOMB:pred.2">tolerates</a>  <a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font>
 
<b>by </b><i><a class="ref" href="circcmb3.html#T30" target="_self" title="CIRCCMB3:th.30">Th30</a></i>;<br/>
<a NAME="E4:95"/><b>then </b>
the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Maroon" title="c3">A</font> <a href="partfun1.html#R1" title="PARTFUN1:pred.1">tolerates</a> the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span>
 
<b>by </b><i><a class="ref" href="circcomb.html#D3" title="CIRCCOMB:def.3">CIRCCOMB:def 3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c9">s1</font> = <span class="p1">(<span class="default"><a href="facirc_1.html#K9" title="FACIRC_1:func.9">Following</a> <font color="Maroon" title="c7">s</font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c8">s'</font></span>)</span></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">|</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> as   <a href="circuit1.html#NM3" title="CIRCUIT1:NM.3">State</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K7" title="CIRCCMB3:func.7">1GateCircuit</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> <b>by </b><i><a class="ref" href="circcomb.html#T33" title="CIRCCOMB:th.33">CIRCCOMB:33</a></i>;<br/>
<a NAME="E6:95"/><i><font color="Green" title="E53">A3</font></i>: 
 <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c9">s1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1
 
<b>by </b><i><a class="ref" href="circcmb3.html#T22" target="_self" title="CIRCCMB3:th.22">Th22</a></i>;<br/>
<a NAME="E7:95"/><i><font color="Green" title="E54">A4</font></i>: 
( <font color="Maroon" title="c8">s'</font> is <a href="circcmb3.html#V1" title="CIRCCMB3:attr.1">stabilizing</a> &amp; <font color="Maroon" title="c9">s1</font> is <a href="circcmb3.html#V1" title="CIRCCMB3:attr.1">stabilizing</a> )
 
<b>by </b><i><a class="ref" href="circcmb3.html#D2" target="_self" title="CIRCCMB3:def.2">Def2</a></i>;<br/>
<a NAME="E8:95"/>
 <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="circcmb3.html#K5" title="CIRCCMB3:func.5">Output</a> <span class="p3">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="ref" href="circcmb3.html#T17" target="_self" title="CIRCCMB3:th.17">Th17</a></i>;<br/>
<a NAME="E9:95"/><b>then </b>
 <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Maroon" title="c2">S</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="msafree2.html#K4" title="MSAFREE2:func.4">InnerVertices</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" title="CIRCCMB3:func.6">1GateCircStr</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">f</font></span>)</span>
 
<b>by </b><i><a class="txt" href="#E1:95"><i><font color="Green" title="E51">A1</font></i></a>, <a class="ref" href="zfmisc_1.html#T56" title="ZFMISC_1:th.56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E10:95"/><b>then </b>
 <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c7">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c8">s'</font></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c9">s1</font></span>)</span>
 
<b>by </b><i><a class="txt" href="#E2:95"><i><font color="Green" title="E52">A2</font></i></a>, <a class="txt" href="#E7:95"><i><font color="Green" title="E54">A4</font></i></a>, <a class="ref" href="circcmb3.html#T11" target="_self" title="CIRCCMB3:th.11">Th11</a>, <a class="ref" href="circcmb3.html#T30" target="_self" title="CIRCCMB3:th.30">Th30</a></i>;<br/>
<b>hence </b><a NAME="E11:95"/>
 <a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c7">s</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" title="CIRCCMB3:func.2">stabilization-time</a> <font color="Maroon" title="c8">s'</font></span>)</span>
 <b>by </b><i><a class="txt" href="#E6:95"><i><font color="Green" title="E53">A3</font></i></a>, <a class="ref" href="xreal_1.html#T8" title="XREAL_1:th.8">XREAL_1:8</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
