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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: GLIB_000:10</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">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st  not <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="glib_000.html#K5" title="GLIB_000:func.5">_GraphSelectors</a>  holds <br/>(  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_000.html#K13" title="GLIB_000:func.13">.set</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">x</font>)</span>)</span> &amp;  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_000.html#K13" title="GLIB_000:func.13">.set</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">x</font>)</span>)</span> &amp;  <a href="glib_000.html#K10" title="GLIB_000:func.10">the_Source_of</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K8" title="GLIB_000:func.8">the_Source_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_000.html#K13" title="GLIB_000:func.13">.set</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">x</font>)</span>)</span> &amp;  <a href="glib_000.html#K11" title="GLIB_000:func.11">the_Target_of</a> <font color="Olive" title="b1">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_000.html#K9" title="GLIB_000:func.9">the_Target_of</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_000.html#K13" title="GLIB_000:func.13">.set</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">x</font>)</span>)</span> &amp; <font color="Olive" title="b1">G</font> <a href="glib_000.html#K13" title="GLIB_000:func.13">.set</a> (<font color="Olive" title="b3">n</font>,<font color="Olive" title="b2">x</font>) is   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a> )</div></div>
