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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/>

<b>assume </b><a NAME="E1:25_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="circcmb3.html#V4" target="_self">one-gate</a>
 ;<br/>

<a NAME="E2:25_1_1"/><b>then </b>
ex <font color="Olive">b<sub>1</sub></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">b<sub>2</sub></font> being  <a href="nat_1.html#NM1">Nat</a>ex <font color="Olive">b<sub>3</sub></font> being   <a href="circcomb.html#M1">FinSeqLen</a> of <font color="Olive">b<sub>2</sub></font>ex <font color="Olive">b<sub>4</sub></font> being  <a href="funct_2.html#NM1">Function</a> of <font color="Olive">b<sub>2</sub></font> <a href="finseq_2.html#K4">-tuples_on</a> <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>1</sub></font> st <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="circcomb.html#K7">1GateCircStr</a> <font color="Olive">b<sub>3</sub></font>,<font color="Olive">b<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="circcmb3.html#D6" target="_self">Def6</a></i>;<br/>
<b>hence </b><a NAME="E3:25_1_1"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="circcomb.html#V5">gate`2=den</a>
 ;<br/>


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