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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th41</font></span>: <a NAME="T41"><span class="comment"><font color="firebrick">:: GLIB_004:41</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_002.html#V1" title="GLIB_002:attr.1">connected</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">G1</font> being   <a href="glib_004.html#NM6" title="GLIB_004:NM.6">minimumSpanningTree</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">G2</font> being   <a href="glib_003.html#NM1" title="GLIB_003:NM.1">WGraph</a>  st <font color="Olive" title="b2">G1</font> <a href="glib_000.html#R5" title="GLIB_000:pred.5">==</a> <font color="Olive" title="b3">G2</font> &amp;  <a href="glib_003.html#K5" title="GLIB_003:func.5">the_Weight_of</a> <font color="Olive" title="b2">G1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_003.html#K5" title="GLIB_003:func.5">the_Weight_of</a> <font color="Olive" title="b3">G2</font> holds <br/><font color="Olive" title="b3">G2</font> is   <a href="glib_004.html#NM6" title="GLIB_004:NM.6">minimumSpanningTree</a> of <font color="Olive" title="b1">G</font></div></div>
