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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">Th49</font></span>: <a NAME="T51"><span class="comment"><font color="firebrick">:: GRAPH_5:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">W</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b2">G</font> being   <a href="graph_1.html#NM3" title="GRAPH_1:NM.3">Graph</a><br/>  for <font color="Olive" title="b3">pe</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b2">G</font>  st <font color="Olive" title="b3">pe</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp; <font color="Olive" title="b1">W</font> <a href="graph_5.html#R6" title="GRAPH_5:pred.6">is_weight_of</a> <font color="Olive" title="b2">G</font> holds <br/> <a href="graph_5.html#K10" title="GRAPH_5:func.10">cost</a> (<font color="Olive" title="b3">pe</font>,<font color="Olive" title="b1">W</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> </div></div>
