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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="circuit1.html#NM3">State</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>7</sub></font>() <a href="circcmb3.html#K9" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K7" target="_self">1GateCircuit</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">F<sub>7</sub></font>();<br/>



<b>assume </b><a NAME="E1:98_1"/><i><font color="Green">E53</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">F<sub>6</sub></font>()
 ;<br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">F<sub>4</sub></font>();<br/>

<b>assume </b><a NAME="E2:98_1"/><i><font color="Green">E54</font></i>: 
( ( <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K1" target="_self">Result</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>1</sub></font>() ) &amp; ( not <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>1</sub></font>() ) &amp; ( <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K1" target="_self">Result</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>2</sub></font>() ) &amp; ( not <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>2</sub></font>() ) &amp; ( <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K1" target="_self">Result</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>3</sub></font>() ) &amp; ( not <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() implies <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>3</sub></font>() ) )
 ;<br/>

<b>set </b><font color="Maroon">c<sub>6</sub></font> =  <a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>();<br/>
<a NAME="E3:98_1"/>
 <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="enumset1.html#K1">{</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="enumset1.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="finseq_2.html#T148">FINSEQ_2:148</a></i>;<br/>
<a NAME="E4:98_1"/><b>then </b><i><font color="Green">E55</font></i>: 
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="relat_1.html#K2">rng</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span></span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> &amp;  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> &amp; <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> &amp; <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> &amp; <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="relat_1.html#K2">rng</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> )
 
<b>by </b><i><a class="ref" href="circcomb.html#T49">CIRCCOMB:49</a>, <a class="ref" href="circcomb.html#D6">CIRCCOMB:def 6</a>, <a class="ref" href="enumset1.html#D1">ENUMSET1:def 1</a></i>;<br/>
<a NAME="E5:98_1"/><b>then </b>
( <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> &amp; <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> &amp; <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> &amp; the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">F<sub>6</sub></font>() <a href="xboole_0.html#K2">\/</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> )
 
<b>by </b><i><a class="ref" href="circcomb.html#D2">CIRCCOMB:def 2</a></i>;<br/>
<a NAME="E6:98_1"/><b>then </b><i><font color="Green">E56</font></i>: 
( <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> &amp; <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> &amp; <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E7:98_1"/>
 <a href="msafree2.html#K4">InnerVertices</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2">(<span class="default"><a href="circcmb3.html#K5" target="_self">Output</a> <span class="p3">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p4"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="circcmb3.html#T17" target="_self">Th17</a></i>;<br/>
<a NAME="E8:98_1"/><b>then </b><i><font color="Green">E57</font></i>: 
 <a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">F<sub>6</sub></font>() <a href="xboole_0.html#R1">misses</a>  <a href="msafree2.html#K4">InnerVertices</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:98"><i><font color="Green">E52</font></i></a>, <a class="ref" href="zfmisc_1.html#T56">ZFMISC_1:56</a></i>;<br/>
<a NAME="E9:98_1"/><i><font color="Green">E58</font></i>: 
<font color="Maroon">F<sub>7</sub></font>() <a href="circcomb.html#R2">tolerates</a>  <a href="circcmb3.html#K7" target="_self">1GateCircuit</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()
 
<b>by </b><i><a class="ref" href="circcmb3.html#T30" target="_self">Th30</a></i>;<br/>
<a NAME="E10:98_1"/><b>then </b>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">F<sub>7</sub></font>() <a href="partfun1.html#R1">tolerates</a> the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K7" target="_self">1GateCircuit</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span>
 
<b>by </b><i><a class="ref" href="circcomb.html#D3">CIRCCOMB:def 3</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>7</sub></font> = <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> as   <a href="circuit1.html#NM3">State</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K7" target="_self">1GateCircuit</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> <b>by </b><i><a class="ref" href="circcomb.html#T33">CIRCCOMB:33</a></i>;<br/>
<a NAME="E12:98_1"/><i><font color="Green">E59</font></i>: 
( <font color="Maroon">c<sub>1</sub></font> is <a href="circcmb3.html#V1" target="_self">stabilizing</a> &amp; <font color="Maroon">c<sub>2</sub></font> is <a href="circcmb3.html#V1" target="_self">stabilizing</a> &amp; <font color="Maroon">c<sub>7</sub></font> is <a href="circcmb3.html#V1" target="_self">stabilizing</a> )
 
<b>by </b><i><a class="ref" href="circcmb3.html#D2" target="_self">Def2</a></i>;<br/>
<a NAME="E13:98_1"/>
<font color="Maroon">F<sub>6</sub></font>() <a href="circcomb.html#R1">tolerates</a>  <a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()
 
<b>by </b><i><a class="ref" href="circcomb.html#T55">CIRCCOMB:55</a></i>;<br/>
<a NAME="E14:98_1"/><b>then </b><i><font color="Green">E60</font></i>: 
 <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <font color="Maroon">F<sub>6</sub></font>()</span>)</span> <a href="xboole_0.html#K2">\/</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <span class="p3">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p4"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p2">(<span class="default"><a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>()</span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E8:98_1"><i><font color="Green">E57</font></i></a>, <a class="ref" href="facirc_1.html#T4">FACIRC_1:4</a></i>;<br/>
<a NAME="E15:98_1"/>
( <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>()</span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E4:98_1"><i><font color="Green">E55</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E16:98_1"/><b>then </b><i><font color="Green">E61</font></i>: 
( <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>1</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E14:98_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E17:98_1"/>
( <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>()</span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E4:98_1"><i><font color="Green">E55</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E18:98_1"/><b>then </b><i><font color="Green">E62</font></i>: 
( <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>2</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E14:98_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<a NAME="E19:98_1"/>
( <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="msafree2.html#K2">InputVertices</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="subset_1.html#K7">\</a> <span class="p1">(<span class="default"><a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>()</span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E4:98_1"><i><font color="Green">E55</font></i></a>, <a class="ref" href="xboole_0.html#D4">XBOOLE_0:def 4</a></i>;<br/>
<a NAME="E20:98_1"/><b>then </b><i><font color="Green">E63</font></i>: 
( <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">F<sub>6</sub></font>() or <font color="Maroon">F<sub>3</sub></font>() <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K2">InputVertices</a> <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E14:98_1"><i><font color="Green">E60</font></i></a>, <a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">F<sub>6</sub></font>() = 
 <a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="circcmb3.html#E1:98_1"><i><font color="Green">E53</font></i></a>, <a class="txt" href="circcmb3.html#E8:98_1"><i><font color="Green">E57</font></i></a>, <a class="txt" href="circcmb3.html#E9:98_1"><i><font color="Green">E58</font></i></a>, <a class="ref" href="circcmb2.html#T14">CIRCCMB2:14</a></i>
<br/>.= 
 <a href="circcmb3.html#K1" target="_self">Result</a> <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="circcmb3.html#E12:98_1"><i><font color="Green">E59</font></i></a>, <a class="ref" href="circcmb3.html#T2" target="_self">Th2</a></i>
;<br/>
<a NAME="E22:98_1"/><b>then </b><i><font color="Green">E64</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>1</sub></font>() &amp; <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>2</sub></font>() &amp; <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">F<sub>3</sub></font>() )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:98_1"><i><font color="Green">E54</font></i></a>, <a class="txt" href="circcmb3.html#E16:98_1"><i><font color="Green">E61</font></i></a>, <a class="txt" href="circcmb3.html#E18:98_1"><i><font color="Green">E62</font></i></a>, <a class="txt" href="circcmb3.html#E20:98_1"><i><font color="Green">E63</font></i></a>, <a class="ref" href="circcmb3.html#T1" target="_self">Th1</a>, <a class="ref" href="funct_1.html#T72">FUNCT_1:72</a></i>;<br/>
<a NAME="E23:98_1"/>
 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="circuit1.html#T4">CIRCUIT1:4</a></i>;<br/>
<a NAME="E24:98_1"/><b>then </b><i><font color="Green">E65</font></i>: 
<span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="facirc_1.html#K7">*&gt;</a></span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E6:98_1"><i><font color="Green">E56</font></i></a>, <a class="txt" href="circcmb3.html#E22:98_1"><i><font color="Green">E64</font></i></a>, <a class="ref" href="finseq_2.html#T146">FINSEQ_2:146</a></i>;<br/>
<a NAME="E25:98_1"/><i><font color="Green">E66</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R1">=</a>  <a href="circcmb3.html#K5" target="_self">Output</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span>
 
<b>by </b><i><a class="ref" href="circcmb3.html#T16" target="_self">Th16</a></i>;<br/>
<a NAME="E26:98_1"/>
the <a href="msualg_1.html#U1">OperSymbols</a> of <span class="p1">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="ref" href="circcomb.html#D6">CIRCCOMB:def 6</a></i>;<br/>
<a NAME="E27:98_1"/><b>then </b>
( <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">F<sub>6</sub></font>() <a href="xboole_0.html#K2">\/</a> <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><span class="p2"><a href="tarski.html#K4">[</a><span class="default"><span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span> )
 
<b>by </b><i><a class="ref" href="circcomb.html#D2">CIRCCOMB:def 2</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>8</sub></font> = <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span><a href="tarski.html#K4">]</a></span> as   <a href="circcomb.html#NM1">Gate</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <b>by </b><i><a class="ref" href="xboole_0.html#D2">XBOOLE_0:def 2</a></i>;<br/>
<i><font color="Green">E67</font></i>:  <a href="msualg_1.html#K2">the_result_sort_of</a> <font color="Maroon">c<sub>8</sub></font> = 
the <a href="msualg_1.html#U3">ResultSort</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="msualg_1.html#D7">MSUALG_1:def 7</a></i>
<br/>.= 
<font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="circcomb.html#T52">CIRCCOMB:52</a></i>
;<br/>
<a NAME="E30:98_1"/>
<font color="Maroon">c<sub>8</sub></font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default">the <a href="msualg_1.html#U2">Arity</a> of <span class="p3">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p4">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p5"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>8</sub></font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">c<sub>8</sub></font> <a href="mcart_1.html#K2">`2</a> </span>)</span></span><a href="tarski.html#K4">]</a></span>
 
<b>by </b><i><a class="ref" href="circcomb.html#D8">CIRCCOMB:def 8</a></i>;<br/>
<b>then </b><i><font color="Green">E68</font></i>: <span class="p1"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span> = 
the <a href="msualg_1.html#U2">Arity</a> of <span class="p1">(<span class="default"><font color="Maroon">F<sub>6</sub></font>() <a href="circcmb3.html#K8" target="_self">+*</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="zfmisc_1.html#T33">ZFMISC_1:33</a></i>
<br/>.= 
 <a href="msualg_1.html#K1">the_arity_of</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="ref" href="msualg_1.html#D6">MSUALG_1:def 6</a></i>
;<br/>
<a NAME="E32:98_1"/><i><font color="Green">E69</font></i>: 
<font color="Maroon">c<sub>8</sub></font> <a href="mcart_1.html#K2">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">F<sub>8</sub></font>()
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E33:98_1"/>
 <a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;=</a> 1 <a href="nat_1.html#K1">+</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:98"><i><font color="Green">E52</font></i></a>, <a class="txt" href="circcmb3.html#E1:98_1"><i><font color="Green">E53</font></i></a>, <a class="ref" href="circcmb3.html#T52" target="_self">Th52</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><a href="circcmb3.html#K1" target="_self">Result</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K5" target="_self">Output</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p2">(<span class="default">1 <a href="nat_1.html#K1">+</a> <span class="p3">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="circcmb3.html#K5" target="_self">Output</a> <span class="p2">(<span class="default"><a href="circcmb3.html#K6" target="_self">1GateCircStr</a> <span class="p3"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span>,<font color="Maroon">F<sub>8</sub></font>()</span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="circcmb3.html#E12:98_1"><i><font color="Green">E59</font></i></a>, <a class="ref" href="circcmb3.html#T5" target="_self">Th5</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="circuit2.html#K6">Following</a> <span class="p2">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p3">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="txt" href="circcmb3.html#E25:98_1"><i><font color="Green">E66</font></i></a>, <a class="ref" href="facirc_1.html#T12">FACIRC_1:12</a></i>
<br/>.= 
<font color="Maroon">F<sub>8</sub></font>() <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="facirc_1.html#K9">Following</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p3">(<span class="default"><a href="circcmb3.html#K2" target="_self">stabilization-time</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p2"><a href="facirc_1.html#K7">&lt;*</a><span class="default"><font color="Maroon">F<sub>1</sub></font>(),<font color="Maroon">F<sub>2</sub></font>(),<font color="Maroon">F<sub>3</sub></font>()</span><a href="facirc_1.html#K7">*&gt;</a></span></span>)</span>
<b>by </b><i><a class="txt" href="circcmb3.html#E29:98_1"><i><font color="Green">E67</font></i></a>, <a class="txt" href="circcmb3.html#E31:98_1"><i><font color="Green">E68</font></i></a>, <a class="txt" href="circcmb3.html#E32:98_1"><i><font color="Green">E69</font></i></a>, <a class="ref" href="facirc_1.html#T34">FACIRC_1:34</a></i>
<br/>.= 
<font color="Maroon">F<sub>5</sub></font>(<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>)
<b>by </b><i><a class="txt" href="circcmb3.html#E1:98"><i><font color="Green">E51</font></i></a>, <a class="txt" href="circcmb3.html#E24:98_1"><i><font color="Green">E65</font></i></a></i>
;<br/><br/>


</div>
