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<span class="kw">let </span><font color="Maroon" title="c1">n</font> be   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a></span>)</span>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Maroon" title="c1">n</font> holds   <a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b1">f</font>) is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c2">f</font> be   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a></span>)</span>,<a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">p</font> being   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Maroon" title="c1">n</font> holds   <a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Olive" title="b1">p</font>,<font color="Maroon" title="c2">f</font>) is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a> </span><br/><span class="kw">let </span><font color="Maroon" title="c3">p</font> be   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Maroon" title="c1">n</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>) is  <a href="circcomb.html#V6" title="CIRCCOMB:attr.6">Boolean</a> </span><br/>





<span class="kw">set </span><font color="Maroon" title="c4">S</font> =  <a href="circcomb.html#K5" title="CIRCCOMB:func.5">1GateCircStr</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>);<br/>
<span class="kw">set </span><font color="Maroon" title="c5">A</font> =  <a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>);<br/>
<span class="kw">let </span><font color="Maroon" title="c6">v</font> be   <a href="msafree2.html#NM1" title="MSAFREE2:NM.1">Vertex</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K5" title="CIRCCOMB:func.5">1GateCircStr</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>)</span>)</span>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="circcomb.html#D14" target="_self" onmouseover="rs('circcomb/D14')" onmouseout="rh()">CIRCCOMB:def 14</a> <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> </span><br/>

<a NAME="E1:97"/>
 the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>)</span>)</span> <a href="pboole.html#R8" title="PBOOLE:pred.8">=</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K5" title="CIRCCOMB:func.5">1GateCircStr</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>)</span>)</span> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="circcomb.html#D13" target="_self" onmouseover="rs('circcomb/D13')" onmouseout="rh()">Def13</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:97"/>
 the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Maroon" title="c3">p</font>,<font color="Maroon" title="c2">f</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c6">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K5" title="MARGREL1:func.5">BOOLEAN</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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