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<div><span class="kw">theorem </span><a NAME="T54"><span class="comment"><font color="firebrick">:: GLIB_003:54</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>  <a href="glib_003.html#NM3" title="GLIB_003:NM.3">VGraph</a><br/>  for <font color="Olive" title="b2">v</font>, <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b2">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="glib_000.html#K6" title="GLIB_000:func.6">the_Vertices_of</a> <font color="Olive" title="b1">G</font> &amp;  not <font color="Olive" title="b2">v</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">G</font> <a href="glib_003.html#K14" title="GLIB_003:func.14">.labeledV()</a>  holds <br/> <a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_003.html#K13" title="GLIB_003:func.13">.labelVertex</a> (<font color="Olive" title="b2">v</font>,<font color="Olive" title="b3">x</font>)</span>)</span> <a href="glib_003.html#K14" title="GLIB_003:func.14">.labeledV()</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="card_1.html#K4" title="CARD_1:func.4">card</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">G</font> <a href="glib_003.html#K14" title="GLIB_003:func.14">.labeledV()</a></span>)</span></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</div></div>
