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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E131">Def10</font></span>   defines <a href="glcolo00.html#V7" title="GLCOLO00:attr.7">proper</a> <a onclick="hs(this)" href="javascript:()">GLCOLO00:def 10 : <br/></a><span> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">t</font> being    <a href="glcolo00.html#M1" title="GLCOLO00:mode.1">TColoring</a> of <font color="Olive" title="b1">G</font> holds <br/> ( <font color="Olive" title="b2">t</font> is  <a href="glcolo00.html#V7" title="GLCOLO00:attr.7">proper</a>  iff ( <font color="Olive" title="b2">t</font> <a href="glcolo00.html#K7" title="GLCOLO00:func.7">_V</a>  is  <a href="glcolo00.html#V1" title="GLCOLO00:attr.1">proper</a>  &amp; <font color="Olive" title="b2">t</font> <a href="glcolo00.html#K8" title="GLCOLO00:func.8">_E</a>  is  <a href="glcolo00.html#V4" title="GLCOLO00:attr.4">proper</a>  &amp; (  for <font color="Olive" title="b3">v</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G</font>  holds  not <span class="p1">(<span class="default"><font color="Olive" title="b2">t</font> <a href="glcolo00.html#K7" title="GLCOLO00:func.7">_V</a></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b3">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">t</font> <a href="glcolo00.html#K8" title="GLCOLO00:func.8">_E</a></span>)</span> <a href="relat_1.html#K7" title="RELAT_1:func.7">.:</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">v</font> <a href="glib_000.html#K28" title="GLIB_000:func.28">.edgesInOut()</a></span>)</span> ) ) );<br/></span></div>
