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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: GLIB_004:10</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>   <a href="glib_003.html#V7" title="GLIB_003:attr.7">real-weighted</a>  <a href="glib_003.html#NM1" title="GLIB_003:NM.1">WGraph</a><br/>  for <font color="Olive" title="b2">e</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">G2</font> being   <a href="glib_003.html#V1" title="GLIB_003:attr.1">[Weighted]</a>   <a href="glib_003.html#V4" title="GLIB_003:attr.4">weight-inheriting</a>  <a href="glib_000.html#NM8" title="GLIB_000:NM.8">removeEdge</a> of <font color="Olive" title="b1">G1</font>,<font color="Olive" title="b2">e</font>  st <font color="Olive" title="b2">e</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="glib_000.html#K7" title="GLIB_000:func.7">the_Edges_of</a> <font color="Olive" title="b1">G1</font> holds <br/><font color="Olive" title="b1">G1</font> <a href="glib_004.html#K4" title="GLIB_004:func.4">.cost()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">G2</font> <a href="glib_004.html#K4" title="GLIB_004:func.4">.cost()</a></span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_003.html#K5" title="GLIB_003:func.5">the_Weight_of</a> <font color="Olive" title="b1">G1</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">e</font></span>)</span></div></div>
