<?xml version="1.0"?>
<div class="add">

<b>set </b><font color="Maroon">c<sub>1</sub></font> = <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>;<br/>
<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="xboole_0.html#K1">{}</a> ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> =  <a href="xboole_0.html#K1">{}</a>  as   <a href="funct_2.html#NM1">Function</a> of  <a href="xboole_0.html#K1">{}</a> ,<span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span> <b>by </b><i><a class="ref" href="funct_2.html#T55">FUNCT_2:55</a>, <a class="ref" href="relat_1.html#T60">RELAT_1:60</a></i>;<br/>
<b>set </b><font color="Maroon">c<sub>4</sub></font> =  <a href="glib_000.html#K12">createGraph</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/>
<b>consider </b><font color="Maroon">c<sub>5</sub></font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="glib_000.html#K7">the_Edges_of</a> <span class="p1">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>, <a href="numbers.html#K5">NAT</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>6</sub></font> = <span class="p1">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font>;<br/>
<b>consider </b><font color="Maroon">c<sub>7</sub></font> being   <a href="funct_2.html#NM1">Function</a> of  <a href="glib_000.html#K7">the_Edges_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span>, <a href="numbers.html#K5">NAT</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>8</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font>;<br/>
<b>consider </b><font color="Maroon">c<sub>9</sub></font> being   <a href="partfun1.html#NM1">PartFunc</a> of  <a href="glib_000.html#K6">the_Vertices_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span>, <a href="numbers.html#K1">REAL</a> ;<br/>
<b>set </b><font color="Maroon">c<sub>10</sub></font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font>;<br/>
<b>take </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font>
;<br/>

<b>thus </b><a NAME="E5:14_1_1"/>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_000.html#V2">finite</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_000.html#V4">trivial</a> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_002.html#V3">Tree-like</a> )
 ;<br/>

<a NAME="E6:14_1_1"/><i><font color="Green">E7</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> <a href="glib_000.html#R5">==</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font> &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font> <a href="glib_000.html#R5">==</a> <span class="p1">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font> &amp; <span class="p1">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p2"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font> <a href="glib_000.html#R5">==</a>  <a href="glib_000.html#K12">createGraph</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 
<b>by </b><i><a class="ref" href="glib_003.html#T8">GLIB_003:8</a></i>;<br/>
 <a href="glib_003.html#K5">the_Weight_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p5"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p5"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <a href="glib_003.html#K2">WeightSelector</a> 

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <a href="glib_003.html#K2">WeightSelector</a> 
<b>by </b><i><a class="ref" href="glib_000.html#T12">GLIB_000:12</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <a href="glib_003.html#K2">WeightSelector</a> 
<b>by </b><i><a class="ref" href="glib_000.html#T12">GLIB_000:12</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="ref" href="glib_000.html#T11">GLIB_000:11</a></i>
;<br/>
<b>hence </b><a NAME="E8:14_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_005.html#V3" target="_self">natural-weighted</a>
 <b>by </b><i><a class="ref" href="glib_005.html#D3" target="_self">Def3</a></i>;<br/>

<i><font color="Green">E8</font></i>:  <a href="glib_003.html#K6">the_ELabel_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p5"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p5"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <a href="glib_003.html#K3">ELabelSelector</a> 

<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="funct_1.html#K1">.</a> <a href="glib_003.html#K3">ELabelSelector</a> 
<b>by </b><i><a class="ref" href="glib_000.html#T12">GLIB_000:12</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font>
<b>by </b><i><a class="ref" href="glib_000.html#T11">GLIB_000:11</a></i>
;<br/>
<b>hence </b><a NAME="E10:14_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_005.html#V4" target="_self">natural-elabeled</a>
 <b>by </b><i><a class="ref" href="glib_005.html#D4" target="_self">Def4</a></i>;<br/>

 <a href="relat_1.html#K1">dom</a> <span class="p1">(<span class="default"><a href="glib_003.html#K6">the_ELabel_of</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p0"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span></span>)</span> = 
 <a href="glib_000.html#K7">the_Edges_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p3"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="glib_005.html#E9:14_1_1"><i><font color="Green">E8</font></i></a>, <a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>
<br/>.= 
 <a href="glib_000.html#K7">the_Edges_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="glib_005.html#E6:14_1_1"><i><font color="Green">E7</font></i></a>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>
<br/>.= 
 <a href="glib_000.html#K7">the_Edges_of</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p5"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="glib_005.html#E6:14_1_1"><i><font color="Green">E7</font></i></a>, <a class="ref" href="glib_000.html#D36">GLIB_000:def 36</a></i>
;<br/>
<b>hence </b><a NAME="E12:14_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_005.html#V1" target="_self">complete-elabeled</a>
 <b>by </b><i><a class="ref" href="glib_005.html#D1" target="_self">Def1</a></i>;<br/>

<b>thus </b><a NAME="E13:14_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="glib_000.html#K12">createGraph</a> <span class="p4"><a href="domain_1.html#K6">{</a><span class="default">1</span><a href="domain_1.html#K6">}</a></span>,<a href="xboole_0.html#K1">{}</a> ,<font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K2">WeightSelector</a> ,<font color="Maroon">c<sub>5</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K3">ELabelSelector</a> ,<font color="Maroon">c<sub>7</sub></font></span>)</span> <a href="glib_000.html#K13">.set</a> <a href="glib_003.html#K4">VLabelSelector</a> ,<font color="Maroon">c<sub>9</sub></font> is <a href="glib_003.html#V10">real-vlabeled</a>
 ;<br/>


</div>
