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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: GLCOLO00:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">v</font>, <font color="Olive" title="b3">e</font>, <font color="Olive" title="b4">w</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b5">G1</font> being    <a href="glib_006.html#M3" title="GLIB_006:mode.3">addEdge</a> of <font color="Olive" title="b1">G2</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">e</font>,<font color="Olive" title="b4">w</font>  st <font color="Olive" title="b2">v</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">w</font> holds <br/>( <font color="Olive" title="b5">G1</font> is  <a href="glcolo00.html#V3" title="GLCOLO00:attr.3">finite-vcolorable</a>  iff <font color="Olive" title="b1">G2</font> is  <a href="glcolo00.html#V3" title="GLCOLO00:attr.3">finite-vcolorable</a>  )</div></div>
