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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E108">Th117</font></span>: <a NAME="T117"><span class="comment"><font color="firebrick">:: GLCOLO00:117</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> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <br/>  for <font color="Olive" title="b3">V</font> being   <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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="b1">G2</font>,<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">V</font> holds <br/> ( <font color="Olive" title="b4">G1</font> is  <a href="glcolo00.html#V6" title="GLCOLO00:attr.6">finite-ecolorable</a>  iff <font color="Olive" title="b1">G2</font> is  <a href="glcolo00.html#V6" title="GLCOLO00:attr.6">finite-ecolorable</a>  )</div></div>
