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

<b>assume </b><a NAME="E1:28_1_1"/>
<font color="Maroon">A</font> is <a href="circcmb3.html#V5" target="_self">one-gate</a>
 ;<br/>

<a NAME="E2:28_1_1"/><b>then </b>
 ex <font color="Olive">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>  ex <font color="Olive">n</font> being   <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a>  ex <font color="Olive">p</font> being   <a href="circcomb.html#M1">FinSeqLen</a> of <font color="Olive">n</font> ex <font color="Olive">f</font> being  <a href="funct_2.html#NM1">Function</a> of <font color="Olive">n</font> <a href="finseq_2.html#K4">-tuples_on</a> <font color="Olive">X</font>,<font color="Olive">X</font> st <br/>( <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K7">1GateCircStr</a> <font color="Olive">p</font>,<font color="Olive">f</font> &amp; <font color="Maroon">A</font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K9">1GateCircuit</a> <font color="Olive">p</font>,<font color="Olive">f</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E3:28_1_1"/>
( <font color="Maroon">A</font> is <a href="msualg_1.html#V4">strict</a> &amp; <font color="Maroon">A</font> is <a href="msualg_1.html#V5">non-empty</a> )
 ;<br/>


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