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<b>consider </b><font color="Maroon">A</font> being    <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S</font><b> such that </b><br/><a NAME="E2:112_1_1"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">A</font> is <a href="circcomb.html#V4">gate`2=den</a>
 <b>by </b><i><a class="ref" href="circcomb.html#D11">CIRCCOMB:def 11</a></i>;<br/>
<b>let </b><font color="Maroon">x</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="relat_1.html#D1">RELAT_1:def 1</a><br/>

<b>assume </b><a NAME="E3:112_1_1"/>
<font color="Maroon">x</font> <a href="hidden.html#R2">in</a>  <a href="msafree2.html#K4">InnerVertices</a> <font color="Maroon">S</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">g</font> = <font color="Maroon">x</font> as   <a href="circcomb.html#NM1">Gate</a> of <font color="Maroon">S</font> <b>by </b><i><a class="ref" href="facirc_1.html#T37">FACIRC_1:37</a></i>;<br/>
<a NAME="E5:112_1_1"/>
<font color="Maroon">g</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"><font color="Maroon">g</font> <a href="mcart_1.html#K1">`1</a> </span>)</span>,<span class="p2">(<span class="default">the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">A</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">g</font></span>)</span></span><a href="tarski.html#K4">]</a></span>
 
<b>by </b><i><a class="ref" href="circcmb3.html#T4" target="_self">Th4</a>, <a class="ref" href="circcomb.html#D10">CIRCCOMB:def 10</a></i>;<br/>
<b>hence </b><a NAME="E6:112_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font></span><a href="tarski.html#K4">]</a></span>
 ;<br/>


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