<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E86">Th97</font></span>: <a NAME="T97"><span class="comment"><font color="firebrick">:: GLCOLO00:97</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font>, <font color="Olive" title="b2">G1</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><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><br/>  for <font color="Olive" title="b4">F</font> being    <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Olive" title="b2">G1</font>,<font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b5">g9</font> being   <a href="glcolo00.html#NM2" title="GLCOLO00:NM.2">EColoring</a> of <font color="Olive" title="b2">G1</font>  st  <a href="relset_1.html#K1" title="RELSET_1:func.1">dom</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b2">G1</font> &amp; <font color="Olive" title="b4">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a>  is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp; <font color="Olive" title="b5">g9</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">g</font> <a href="funct_1.html#NK3" title="FUNCT_1:NK.3">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">F</font> <a href="glib_010.html#K6" title="GLIB_010:func.6">_E</a></span>)</span> &amp; <font color="Olive" title="b3">g</font> is  <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a>  holds <br/><font color="Olive" title="b5">g9</font> is  <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a> </div></div>
