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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th101</font></span>: <a NAME="T97"><span class="comment"><font color="firebrick">:: GLIBPRE0:97</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">v</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G</font>  st 3 <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b1">G</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  &amp; <font color="Olive" title="b2">v</font> is  <a href="glib_000.html#V11" title="GLIB_000:attr.11">endvertex</a>  holds <br/> ex <font color="Olive" title="b3">u</font>, <font color="Olive" title="b4">w</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G</font> st <br/>( <font color="Olive" title="b3">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">v</font> &amp; <font color="Olive" title="b4">w</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">v</font> &amp; <font color="Olive" title="b3">u</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">w</font> &amp; <font color="Olive" title="b3">u</font>,<font color="Olive" title="b2">v</font> <a href="chord.html#R1" title="CHORD:pred.1">are_adjacent</a>  &amp;  not <font color="Olive" title="b2">v</font>,<font color="Olive" title="b4">w</font> <a href="chord.html#R1" title="CHORD:pred.1">are_adjacent</a>  )</div></div>
