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<div><span class="kw">theorem </span><a NAME="T173"><span class="comment"><font color="firebrick">:: GLCOLO00:173</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">c</font> being   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a><br/>  for <font color="Olive" title="b3">v</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G2</font><br/>  for <font color="Olive" title="b4">e</font>, <font color="Olive" title="b5">w</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b6">G1</font> being    <a href="glib_006.html#M4" title="GLIB_006:mode.4">addAdjVertex</a> of <font color="Olive" title="b1">G2</font>,<font color="Olive" title="b3">v</font>,<font color="Olive" title="b4">e</font>,<font color="Olive" title="b5">w</font>  st  not <font color="Olive" title="b4">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b1">G2</font> &amp;  not <font color="Olive" title="b5">w</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">G2</font> &amp; <font color="Olive" title="b3">v</font> is  <a href="glib_000.html#V11" title="GLIB_000:attr.11">endvertex</a>  &amp; <font color="Olive" title="b1">G2</font> is <font color="Olive" title="b2">c</font> <a href="glcolo00.html#V8" title="GLCOLO00:attr.8">-tcolorable</a>  holds <br/><font color="Olive" title="b6">G1</font> is <font color="Olive" title="b2">c</font> <a href="glcolo00.html#V8" title="GLCOLO00:attr.8">-tcolorable</a> </div></div>
