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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: GRAPH_2:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">e</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G</font> being   <a href="graph_1.html#NM3" title="GRAPH_1:NM.3">Graph</a><br/>  for <font color="Olive" title="b3">v1</font>, <font color="Olive" title="b4">v2</font>, <font color="Olive" title="b5">v3</font>, <font color="Olive" title="b6">v4</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b2">G</font>  st <font color="Olive" title="b1">e</font> <a href="graph_1.html#R2" title="GRAPH_1:pred.2">joins</a> <font color="Olive" title="b3">v1</font>,<font color="Olive" title="b4">v2</font> &amp; <font color="Olive" title="b1">e</font> <a href="graph_1.html#R2" title="GRAPH_1:pred.2">joins</a> <font color="Olive" title="b5">v3</font>,<font color="Olive" title="b6">v4</font> &amp;  not <!--HUMANRECFAILED-->( <font color="Olive" title="b3">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">v3</font> &amp; <font color="Olive" title="b4">v2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">v4</font> ) holds <br/>( <font color="Olive" title="b3">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">v4</font> &amp; <font color="Olive" title="b4">v2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">v3</font> ) ;<br/></div></div>
