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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: GLIB_000:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G1</font> being   <a href="glib_000.html#V2" title="GLIB_000:attr.2">_finite</a>   non  <a href="glib_000.html#V4" title="GLIB_000:attr.4">_trivial</a>  <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a><br/>  for <font color="Olive" title="b2">v</font> being   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Olive" title="b1">G1</font><br/>  for <font color="Olive" title="b3">G2</font> being   <a href="glib_000.html#NM6" title="GLIB_000:NM.6">removeVertex</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">v</font> holds <br/> ( <span class="p1">(<span class="default"><font color="Olive" title="b3">G2</font> <a href="glib_000.html#K15" title="GLIB_000:func.15">.order()</a></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K15" title="GLIB_000:func.15">.order()</a>  &amp; <span class="p1">(<span class="default"><font color="Olive" title="b3">G2</font> <a href="glib_000.html#K17" title="GLIB_000:func.17">.size()</a></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.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="b2">v</font> <a href="glib_000.html#K28" title="GLIB_000:func.28">.edgesInOut()</a></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">G1</font> <a href="glib_000.html#K17" title="GLIB_000:func.17">.size()</a>  )</div></div>
