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<div><span class="kw">theorem </span><a NAME="T13"><span class="comment"><font color="firebrick">:: GLCOLO00:13</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">f9</font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b2">f</font>  st <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="b3">f9</font> <a href="glcolo00.html#K1" title="GLCOLO00:func.1">*</a> <font color="Olive" title="b2">f</font> is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a> </div></div>
