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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E67">Th82</font></span>: <a NAME="T82"><span class="comment"><font color="firebrick">:: GLCOLO00:82</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="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">G2</font></span>)</span><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><br/>  for <font color="Olive" title="b5">g2</font> being   <a href="glcolo00.html#NM2" title="GLCOLO00:NM.2">EColoring</a> of <font color="Olive" title="b1">G2</font><br/>  for <font color="Olive" title="b6">h</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>  st  not <font color="Olive" title="b2">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">G2</font> &amp;  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <font color="Olive" title="b6">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">G1</font> <a href="glib_000.html#K22" title="GLIB_000:func.22">.edgesBetween</a> (<font color="Olive" title="b3">V</font>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b2">v</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>) holds <br/><font color="Olive" title="b5">g2</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b6">h</font> is   <a href="glcolo00.html#NM2" title="GLCOLO00:NM.2">EColoring</a> of <font color="Olive" title="b4">G1</font></div></div>
