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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: GLIB_000:15</font></span><br/></a><div class="add"> 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">e</font>, <font color="Olive" title="b3">x1</font>, <font color="Olive" title="b4">x2</font>, <font color="Olive" title="b5">y1</font>, <font color="Olive" title="b6">y2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b2">e</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Olive" title="b3">x1</font>,<font color="Olive" title="b5">y1</font>,<font color="Olive" title="b1">G</font> &amp; <font color="Olive" title="b2">e</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Olive" title="b4">x2</font>,<font color="Olive" title="b6">y2</font>,<font color="Olive" title="b1">G</font> &amp;  not <!--HUMANRECFAILED-->( <font color="Olive" title="b3">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x2</font> &amp; <font color="Olive" title="b5">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">y2</font> ) holds <br/>( <font color="Olive" title="b3">x1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">y2</font> &amp; <font color="Olive" title="b5">y1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">x2</font> ) ;<br/></div></div>
