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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E55">Th46</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: SCMYCIEL:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="scmyciel.html#NM1" title="SCMYCIEL:NM.1">SimpleGraph</a><br/>  for <font color="Olive" title="b2">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="scmyciel.html#NK2" title="SCMYCIEL:NK.2">Vertices</a> <font color="Olive" title="b1">G</font> holds <br/><font color="Olive" title="b1">G</font> <a href="scmyciel.html#K7" title="SCMYCIEL:func.7">SubgraphInducedBy</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>,<span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span></div></div>
