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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E67">Th90</font></span>: <a NAME="T90"><span class="comment"><font color="firebrick">:: GLIB_000:90</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font>, <font color="Olive" title="b2">G2</font> being   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b3">X</font>, <font color="Olive" title="b4">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Olive" title="b2">G2</font> holds <br/>( <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K14" title="GLIB_000:func.14">.order()</a>  &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K16" title="GLIB_000:func.16">.size()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K16" title="GLIB_000:func.16">.size()</a>  &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K18" title="GLIB_000:func.18">.edgesInto</a> <font color="Olive" title="b3">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K18" title="GLIB_000:func.18">.edgesInto</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K19" title="GLIB_000:func.19">.edgesOutOf</a> <font color="Olive" title="b3">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K19" title="GLIB_000:func.19">.edgesOutOf</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K20" title="GLIB_000:func.20">.edgesInOut</a> <font color="Olive" title="b3">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K20" title="GLIB_000:func.20">.edgesInOut</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K21" title="GLIB_000:func.21">.edgesBetween</a> <font color="Olive" title="b3">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K21" title="GLIB_000:func.21">.edgesBetween</a> <font color="Olive" title="b3">X</font> &amp; <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K23" title="GLIB_000:func.23">.edgesDBetween</a> (<font color="Olive" title="b3">X</font>,<font color="Olive" title="b4">Y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">G2</font> <a href="glib_000.html#K23" title="GLIB_000:func.23">.edgesDBetween</a> (<font color="Olive" title="b3">X</font>,<font color="Olive" title="b4">Y</font>) )</div></div>
