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<b>consider </b><font color="Maroon">c<sub>3</sub></font> being   <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E2:58_1_1"/><i><font color="Green">E28</font></i>: 
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="funct_1.html#V3">constant</a> &amp;  <a href="yellow_6.html#K1">the_value_of</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="circcomb.html#V4">gate`2=den</a> )
 <b>by </b><i><a class="ref" href="circcmb3.html#D9" target="_self">Def9</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="msualg_1.html#G3">MSAlgebra</a>(# the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">c<sub>3</sub></font> #);<br/>
<a NAME="E3:58_1_1"/>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font> is <a href="pre_circ.html#V1">locally-finite</a>
 
<b>by </b><i><a class="ref" href="msafree2.html#D11">MSAFREE2:def 11</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>5</sub></font> =  <a href="msualg_1.html#G3">MSAlgebra</a>(# the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>3</sub></font>,the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">c<sub>3</sub></font> #) as   <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="msafree2.html#D11">MSAFREE2:def 11</a></i>;<br/>
<a NAME="E5:58_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>2</sub></font> holds <br/><font color="Olive">b<sub>1</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"><font color="Olive">b<sub>1</sub></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">c<sub>5</sub></font> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font></span>)</span></span><a href="tarski.html#K4">]</a></span>
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:58_1_1"><i><font color="Green">E28</font></i></a>, <a class="ref" href="circcomb.html#D10">CIRCCOMB:def 10</a></i>;<br/>
<a NAME="E6:58_1_1"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> is <a href="circcomb.html#V4">gate`2=den</a> &amp; the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>5</sub></font> is <a href="funct_1.html#V3">constant</a> &amp;  <a href="yellow_6.html#K1">the_value_of</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>5</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="txt" href="circcmb3.html#E2:58_1_1"><i><font color="Green">E28</font></i></a>, <a class="ref" href="circcomb.html#D10">CIRCCOMB:def 10</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>5</sub></font> as    <a href="circcmb3.html#M2" target="_self">Circuit</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="circcmb3.html#D10" target="_self">Def10</a></i>;<br/>
<b>take </b>
<font color="Maroon">c<sub>6</sub></font>
;<br/>

<b>thus </b><a NAME="E8:58_1_1"/>
<font color="Maroon">c<sub>6</sub></font> is <a href="msualg_1.html#V4">strict</a>
 ;<br/>


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