<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E49">Th49</font></span>: <a NAME="T49"><span class="comment"><font color="firebrick">:: GLCOLO00:49</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">V</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">v</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b4">G1</font> being    <a href="glib_007.html#M4" title="GLIB_007:mode.4">addAdjVertexAll</a> of <font color="Olive" title="b2">G2</font>,<font color="Olive" title="b3">v</font>,<font color="Olive" title="b1">V</font> holds <br/> ( <font color="Olive" title="b4">G1</font> is  <a href="glcolo00.html#V3" title="GLCOLO00:attr.3">finite-vcolorable</a>  iff <font color="Olive" title="b2">G2</font> is  <a href="glcolo00.html#V3" title="GLCOLO00:attr.3">finite-vcolorable</a>  )</div></div>
