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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E135">Th149</font></span>: <a NAME="T149"><span class="comment"><font color="firebrick">:: GLCOLO00:149</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">g</font> being   <a href="glcolo00.html#NM2" title="GLCOLO00:NM.2">EColoring</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b3">g</font> is  <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a>  holds <br/> ex <font color="Olive" title="b4">g9</font> being   <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a>  <a href="glcolo00.html#NM2" title="GLCOLO00:NM.2">EColoring</a> of <font color="Olive" title="b1">G</font> st <br/>(  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b2">f</font> <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> <font color="Olive" title="b4">g9</font> &amp;  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b3">g</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="card_1.html#K1" title="CARD_1:func.1">card</a> <span class="p1">(<span class="default"><a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b4">g9</font></span>)</span> )</div></div>
