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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="glib_003.html#NM1">WGraph</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="glib_001.html#M3">Walk</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>





<b>set </b><font color="Maroon">c<sub>4</sub></font> = <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K10">.addEdge</a> <font color="Maroon">c<sub>3</sub></font>;<br/>
<b>set </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>1</sub></font> <a href="glib_001.html#K2">.walkOf</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span>,<font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K30">.adj</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>;<br/>
<b>assume </b><a NAME="E1:165"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K29">.edgesInOut()</a> 
 ;<br/>

<a NAME="E2:165"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K10">.addEdge</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K7">.append</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="glib_001.html#K2">.walkOf</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span>,<font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K30">.adj</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="glib_001.html#D13">GLIB_001:def 13</a></i>;<br/>
<a NAME="E3:165"/><i><font color="Green">E35</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="glib_000.html#R1">Joins</a> <font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> ,<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K30">.adj</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="glib_003.html#E1:165"><i><font color="Green">E33</font></i></a>, <a class="ref" href="glib_000.html#T70">GLIB_000:70</a></i>;<br/>
<a NAME="E4:165"/><b>then </b>
<font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a>  <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="glib_001.html#K2">.walkOf</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span>,<font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K30">.adj</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="glib_001.html#K3">.first()</a> 
 
<b>by </b><i><a class="ref" href="glib_001.html#T16">GLIB_001:16</a></i>;<br/>
<b>hence </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K10">.addEdge</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_003.html#K8" target="_self">.weightSeq()</a>  = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_003.html#K8" target="_self">.weightSeq()</a> </span>)</span> <a href="finseq_1.html#K7">^</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">c<sub>1</sub></font> <a href="glib_001.html#K2">.walkOf</a> <span class="p3">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span>,<font color="Maroon">c<sub>3</sub></font>,<span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_001.html#K4">.last()</a> </span>)</span> <a href="glib_000.html#K30">.adj</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span>)</span> <a href="glib_003.html#K8" target="_self">.weightSeq()</a> </span>)</span>
<b>by </b><i><a class="txt" href="glib_003.html#E2:165"><i><font color="Green">E34</font></i></a>, <a class="ref" href="glib_003.html#T23" target="_self">Th23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="glib_003.html#K8" target="_self">.weightSeq()</a> </span>)</span> <a href="finseq_1.html#K7">^</a> <span class="p1"><a href="finseq_1.html#K9">&lt;*</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_003.html#K5" target="_self">the_Weight_of</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">c<sub>3</sub></font></span>)</span></span><a href="finseq_1.html#K9">*&gt;</a></span>
<b>by </b><i><a class="txt" href="glib_003.html#E3:165"><i><font color="Green">E35</font></i></a>, <a class="ref" href="glib_003.html#T21" target="_self">Th21</a></i>
;<br/><br/>


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