<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="glcolo00.html#V2" title="GLCOLO00:attr.2">-vcolorable</a> <a onclick="hs(this)" href="javascript:()">GLCOLO00:def 2 : <br/></a><span> for <font color="Olive" title="b1">c</font> being   <a href="card_1.html#NM1" title="CARD_1:NM.1">Cardinal</a><br/>  for <font color="Olive" title="b2">G</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> holds <br/> ( <font color="Olive" title="b2">G</font> is <font color="Olive" title="b1">c</font> <a href="glcolo00.html#V2" title="GLCOLO00:attr.2">-vcolorable</a>  iff  ex <font color="Olive" title="b3">f</font> being   <a href="glcolo00.html#NM1" title="GLCOLO00:NM.1">VColoring</a> of <font color="Olive" title="b2">G</font> st <br/>( <font color="Olive" title="b3">f</font> is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a>  &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">f</font></span>)</span> <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b1">c</font> ) );<br/></span></div>
