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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th15</font></span>: <a NAME="T15"><span class="comment"><font color="firebrick">:: GLCOLO00:15</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">f</font> being   <a href="glcolo00.html#NM1" title="GLCOLO00:NM.1">VColoring</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">H</font> being    <a href="glib_000.html#M1" title="GLIB_000:mode.1">Subgraph</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b4">f9</font> being   <a href="glcolo00.html#NM1" title="GLCOLO00:NM.1">VColoring</a> of <font color="Olive" title="b3">H</font>  st <font color="Olive" title="b4">f9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">f</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <span class="p1">(<span class="default"><a href="glib_000.html#K24" title="GLIB_000:func.24">the_Vertices_of</a> <font color="Olive" title="b3">H</font></span>)</span> &amp; <font color="Olive" title="b2">f</font> is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a>  holds <br/><font color="Olive" title="b4">f9</font> is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a> </div></div>
