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<div><span class="kw">theorem </span><a NAME="T9"><span class="comment"><font color="firebrick">:: FACIRC_1:9</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S1</font>, <font color="Olive" title="b2">S2</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="circcomb.html#V1" title="CIRCCOMB:attr.1">unsplit</a>   <a href="circcomb.html#V2" title="CIRCCOMB:attr.2">gate`1=arity</a>   <a href="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a>   st  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Olive" title="b1">S1</font> is  <a href="facirc_1.html#NV2" title="FACIRC_1:NV.2">without_pairs</a>  &amp;  <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <font color="Olive" title="b2">S2</font> is  <a href="facirc_1.html#NV2" title="FACIRC_1:NV.2">without_pairs</a>  holds <br/> <a href="msafree2.html#K2" title="MSAFREE2:func.2">InputVertices</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">S1</font> <a href="circcomb.html#K2" title="CIRCCOMB:func.2">+*</a> <font color="Olive" title="b2">S2</font></span>)</span> is  <a href="facirc_1.html#NV2" title="FACIRC_1:NV.2">without_pairs</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="facirc_1.html#T8" target="_self" onmouseover="rs('facirc_1/T8')" onmouseout="rh()">Th8</a>, <a class="ref" href="circcomb.html#T47" onmouseover="rs('circcomb/T47')" onmouseout="rh()">CIRCCOMB:47</a></span>;<br/></div></div>
