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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E49">Def19</font></span>   defines <a href="glib_004.html#V1" title="GLIB_004:attr.1">min-cost</a> <a onclick="hs(this)" href="javascript:()">GLIB_004:def 19 : <br/></a><span> 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_000.html#V9" title="GLIB_000:attr.9">spanning</a>   <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a>  <a href="glib_003.html#NM8" title="GLIB_003:NM.8">WSubgraph</a> of <font color="Olive" title="b1">G1</font> holds <br/> ( <font color="Olive" title="b2">G2</font> is  <a href="glib_004.html#V1" title="GLIB_004:attr.1">min-cost</a>  iff  for <font color="Olive" title="b3">G3</font> being   <a href="glib_000.html#V9" title="GLIB_000:attr.9">spanning</a>   <a href="glib_002.html#V3" title="GLIB_002:attr.3">Tree-like</a>  <a href="glib_003.html#NM8" title="GLIB_003:NM.8">WSubgraph</a> of <font color="Olive" title="b1">G1</font> holds  <font color="Olive" title="b2">G2</font> <a href="glib_004.html#K4" title="GLIB_004:func.4">.cost()</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">G3</font> <a href="glib_004.html#K4" title="GLIB_004:func.4">.cost()</a>  );<br/></span></div>
