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<b>consider </b><font color="Maroon">c<sub>2</sub></font> being  non <a href="xboole_0.html#V1">empty</a> <a href="finset_1.html#V1">finite</a>  <a href="hidden.html#M1">set</a> , <font color="Maroon">c<sub>3</sub></font> being   <a href="nat_1.html#NM1">Nat</a>, <font color="Maroon">c<sub>4</sub></font> being    <a href="circcomb.html#M1">FinSeqLen</a> of <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>5</sub></font> being   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">c<sub>3</sub></font> <a href="finseq_2.html#K4">-tuples_on</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E2:32_1_1"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K7">1GateCircStr</a> <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>
 <b>by </b><i><a class="ref" href="circcmb3.html#D6" target="_self">Def6</a></i>;<br/>
<a NAME="E3:32_1_1"/><i><font color="Green">E18</font></i>: 
the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>1</sub></font> <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"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span></span><a href="tarski.html#K1">}</a></span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:32_1_1"><i><font color="Green">E17</font></i></a>, <a class="ref" href="circcomb.html#D6">CIRCCOMB:def 6</a></i>;<br/>
 <a href="circcmb3.html#K5" target="_self">Output</a> <font color="Maroon">c<sub>1</sub></font> = 
 <a href="tarski.html#K3">union</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>1</sub></font>

<br/>.= 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font></span><a href="tarski.html#K4">]</a></span>
<b>by </b><i><a class="txt" href="circcmb3.html#E3:32_1_1"><i><font color="Green">E18</font></i></a>, <a class="ref" href="zfmisc_1.html#T31">ZFMISC_1:31</a></i>
;<br/>
<b>hence </b><a NAME="E5:32_1_1"/>
 <a href="circcmb3.html#K5" target="_self">Output</a> <font color="Maroon">c<sub>1</sub></font> is <a href="facirc_1.html#V1">pair</a>
 ;<br/>


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