<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E133">Th147</font></span>: <a NAME="T147"><span class="comment"><font color="firebrick">:: GLCOLO00:147</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">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="b2">t</font> <a href="glcolo00.html#K7" title="GLCOLO00:func.7">_V</a>  is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a>  &amp; <font color="Olive" title="b2">t</font> <a href="glcolo00.html#K8" title="GLCOLO00:func.8">_E</a>  is  <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a>  &amp;  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">t</font> <a href="glcolo00.html#K7" title="GLCOLO00:func.7">_V</a></span>)</span> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">t</font> <a href="glcolo00.html#K8" title="GLCOLO00:func.8">_E</a></span>)</span> holds <br/><font color="Olive" title="b2">t</font> is  <a href="glcolo00.html#V7" title="GLCOLO00:attr.7">proper</a> </div></div>
