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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E45">Th54</font></span>: <a NAME="T54"><span class="comment"><font color="firebrick">:: CIRCCOMB:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">X</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">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="Olive" title="b1">n</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b2">X</font></span>)</span>,<font color="Olive" title="b2">X</font><br/>  for <font color="Olive" title="b4">p</font> being   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Olive" title="b1">n</font> holds <br/> (  the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Charact</a> of <span class="p1">(<span class="default"><a href="circcomb.html#K7" title="CIRCCOMB:func.7">1GateCircuit</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> (<font color="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font>) <a href="funcop_1.html#K13" title="FUNCOP_1:func.13">.--&gt;</a> <font color="Olive" title="b3">f</font> &amp; (  for <font color="Olive" title="b5">v</font> being   <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="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font>)</span>)</span> holds   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="Olive" title="b4">p</font>,<font color="Olive" title="b3">f</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">v</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">X</font> ) )</div></div>
