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<b>let </b><font color="Maroon" title="c1">W</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>;<br/><b>let </b><font color="Maroon" title="c2">G</font> be   <a href="graph_1.html#NM1" title="GRAPH_1:NM.1">Graph</a>;<br/><b>let </b><font color="Maroon" title="c3">pe</font> be    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of the <a href="graph_1.html#U2" title="GRAPH_1:sel.2">Edges</a> of <font color="Maroon" title="c2">G</font>;<br/>





<b>assume </b><a NAME="E1:74"/><i><font color="Green" title="E58">A1</font></i>: 
( <font color="Maroon" title="c3">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="Maroon" title="c1">W</font> <a href="graph_5.html#R6" title="GRAPH_5:pred.6">is_weight_of</a> <font color="Maroon" title="c2">G</font> )
 ;<br/>

<b>set </b><font color="Maroon" title="c4">f</font> =  <a href="graph_5.html#K9" title="GRAPH_5:func.9">RealSequence</a> <font color="Maroon" title="c3">pe</font>,<font color="Maroon" title="c1">W</font>;<br/>
<a NAME="E2:74"/>
 <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><a href="graph_5.html#K9" title="GRAPH_5:func.9">RealSequence</a> <font color="Maroon" title="c3">pe</font>,<font color="Maroon" title="c1">W</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Maroon" title="c3">pe</font>
 
<b>by </b><i><a class="txt" href="graph_5.html#E1:74"><i><font color="Green" title="E58">A1</font></i></a>, <a class="ref" href="graph_5.html#D15" target="_self" title="GRAPH_5:def.15">Def15</a></i>;<br/>
<b>then </b> <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><a href="graph_5.html#K9" title="GRAPH_5:func.9">RealSequence</a> <font color="Maroon" title="c3">pe</font>,<font color="Maroon" title="c1">W</font></span>)</span> = 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c3">pe</font>
<b>by </b><i><a class="ref" href="finseq_3.html#T31" title="FINSEQ_3:th.31">FINSEQ_3:31</a></i>
<br/>.= 
0
<b>by </b><i><a class="txt" href="graph_5.html#E1:74"><i><font color="Green" title="E58">A1</font></i></a>, <a class="ref" href="finseq_1.html#T25" title="FINSEQ_1:th.25">FINSEQ_1:25</a></i>
;<br/>
<b>hence </b><a NAME="E4:74"/>
0 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="graph_5.html#K10" title="GRAPH_5:func.10">cost</a> <font color="Maroon" title="c3">pe</font>,<font color="Maroon" title="c1">W</font>
 <b>by </b><i><a class="ref" href="finseq_1.html#T32" title="FINSEQ_1:th.32">FINSEQ_1:32</a>, <a class="ref" href="rvsum_1.html#T102" title="RVSUM_1:th.102">RVSUM_1:102</a></i>;<br/>


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