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<b>let </b><font color="Maroon">A</font> be  <a href="msualg_1.html#V5">non-empty</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">S</font>;<br/>

<b>assume </b><a NAME="E1:38_1_1"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">A</font> is <a href="circcmb3.html#V5" target="_self">one-gate</a>
 ;<br/>

<b>then consider </b><font color="Maroon">X</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">n</font> being    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> , <font color="Maroon">p</font> being    <a href="circcomb.html#M1">FinSeqLen</a> of <font color="Maroon">n</font>, <font color="Maroon">f</font> being   <a href="funct_2.html#NM1">Function</a> of <font color="Maroon">n</font> <a href="finseq_2.html#K4">-tuples_on</a> <font color="Maroon">X</font>,<font color="Maroon">X</font><b> such that </b><br/><a NAME="E3:38_1_1"/><i><font color="Green">E36</font></i>: 
( <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K7">1GateCircStr</a> <font color="Maroon">p</font>,<font color="Maroon">f</font> &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K9">1GateCircuit</a> <font color="Maroon">p</font>,<font color="Maroon">f</font> )
 <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">S1</font> = <font color="Maroon">S</font> as  <a href="circcmb3.html#V4" target="_self">one-gate</a>  <a href="msualg_1.html#L1">ManySortedSign</a>  <b>by </b><i/>;<br/>
<b>reconsider </b><font color="Maroon">A1</font> = <font color="Maroon">A</font> as  <a href="circcmb3.html#V5" target="_self">one-gate</a> <a href="circuit1.html#NM1">Circuit</a> of <font color="Maroon">S1</font> <b>by </b><i/>;<br/>
<b>take </b>
1
; <i><font color="Red">:: according to </font></i><a class="ref" href="circcmb3.html#D3" target="_self">CIRCCMB3:def 3</a><br/>

<b>let </b><font color="Maroon">s</font> be   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A</font>;<br/>

<b>reconsider </b><font color="Maroon">s1</font> = <font color="Maroon">s</font> as   <a href="circuit1.html#NM3">State</a> of <font color="Maroon">A1</font> ;<br/>
<a NAME="E7:38_1_1"/>
 <a href="circuit2.html#K6">Following</a> <font color="Maroon">s1</font> is <a href="circuit2.html#V1">stable</a>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E8:38_1_1"/>
 <a href="facirc_1.html#K9">Following</a> <font color="Maroon">s</font>,1 is <a href="circuit2.html#V1">stable</a>
 <b>by </b><i><a class="ref" href="facirc_1.html#T14">FACIRC_1:14</a></i>;<br/>


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