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<div><span class="kw">theorem </span><a NAME="T164"><span class="comment"><font color="firebrick">:: GLCOLO00:164</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">t</font> being    <a href="glcolo00.html#M1" title="GLCOLO00:mode.1">TColoring</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b1">G</font> is  <a href="glib_008.html#V1" title="GLIB_008:attr.1">edgeless</a>  &amp; <font color="Olive" title="b2">f</font> is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a>  &amp; <font color="Olive" title="b3">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">f</font>,<a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/><font color="Olive" title="b3">t</font> is  <a href="glcolo00.html#V7" title="GLCOLO00:attr.7">proper</a>  ;<br/></div></div>
