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<b>consider </b><font color="Maroon">c<sub>4</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="E2:66_1_1"/><i><font color="Green">E32</font></i>: 
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>4</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>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>4</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>consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>3</sub></font><b> such that </b><br/><a NAME="E4:66_1_1"/><i><font color="Green">E33</font></i>: 
( 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> &amp; <font color="Maroon">c<sub>5</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>reconsider </b><font color="Maroon">c<sub>6</sub></font> = <font color="Maroon">c<sub>4</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="txt" href="circcmb3.html#E2:66_1_1"><i><font color="Green">E32</font></i></a>, <a class="ref" href="circcmb3.html#D10" target="_self">Def10</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>7</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>3</sub></font> <b>by </b><i><a class="txt" href="circcmb3.html#E4:66_1_1"><i><font color="Green">E33</font></i></a>, <a class="ref" href="circcmb3.html#D10" target="_self">Def10</a></i>;<br/>
<b>reconsider </b><font color="Maroon">c<sub>8</sub></font> = <font color="Maroon">c<sub>6</sub></font> <a href="circcomb.html#K4">+*</a> <font color="Maroon">c<sub>7</sub></font> as   <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">c<sub>2</sub></font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">c<sub>3</sub></font> <b>by </b><i><a class="ref" href="circcmb3.html#T31" target="_self">Th31</a></i>;<br/>
<a NAME="E8:66_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="circcmb3.html#M1" target="_self">Signature</a> of <font color="Maroon">c<sub>1</sub></font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="66_1_1_1"><b>proof </b></a><div class="add">

<b>take </b>
<font color="Maroon">c<sub>8</sub></font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="circcmb3.html#D9" target="_self">CIRCCMB3:def 9</a><br/>

<b>thus </b><a NAME="E1:66_1_1_1"/>
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>8</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>8</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="circcmb3.html#T33" target="_self">Th33</a></i>;<br/>

<b>thus </b><a NAME="E2:66_1_1_1"/>
<font color="Maroon">c<sub>8</sub></font> is <a href="circcomb.html#V4">gate`2=den</a>
 <b>by </b><i><a class="ref" href="circcmb3.html#T32" target="_self">Th32</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E9:66_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="circcomb.html#K3">+*</a> <font color="Maroon">c<sub>3</sub></font> is  <a href="msualg_1.html#V1">strict</a>  <a href="circcmb3.html#M1" target="_self">Signature</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


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