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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: GLIB_004:43</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_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">G2</font> being   <a href="glib_003.html#NM15" title="GLIB_003:NM.15">inducedWSubgraph</a> of <font color="Olive" title="b1">G1</font>,<span class="p1">(<span class="default"><a href="glib_004.html#K17" title="GLIB_004:func.17">PRIM:MST</a> <font color="Olive" title="b1">G1</font></span>)</span> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a> ,<span class="p1">(<span class="default"><a href="glib_004.html#K17" title="GLIB_004:func.17">PRIM:MST</a> <font color="Olive" title="b1">G1</font></span>)</span> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a>  holds  <font color="Olive" title="b2">G2</font> is   <a href="glib_004.html#NM6" title="GLIB_004:NM.6">minimumSpanningTree</a> of <font color="Olive" title="b1">G1</font></div></div>
