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

<b>let </b><font color="Maroon" title="c1">G</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>;<br/><b>let </b><font color="Maroon" title="c2">v1</font>, <font color="Maroon" title="c3">v2</font>, <font color="Maroon" title="c4">v3</font> be   <a href="glib_000.html#NM10" title="GLIB_000:NM.10">Vertex</a> of <font color="Maroon" title="c1">G</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:53"/><i><font color="Green" title="E45">A1</font></i>: 
( <font color="Maroon" title="c2">v1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">v2</font> &amp; <font color="Maroon" title="c2">v1</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">v3</font> )
 <b>and </b><br/><a NAME="E2:53"/><i><font color="Green" title="E46">A2</font></i>: 
<font color="Maroon" title="c3">v2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">v3</font>
 <b>and </b><br/><a NAME="E3:53"/><i><font color="Green" title="E47">A3</font></i>: 
<font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font> <a href="chord.html#R1" title="CHORD:pred.1">are_adjacent</a> 
 <b>and </b><br/><a NAME="E4:53"/><i><font color="Green" title="E48">A4</font></i>: 
<font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c4">v3</font> <a href="chord.html#R1" title="CHORD:pred.1">are_adjacent</a> 
 ;<br/>

<b>consider </b><font color="Maroon" title="c5">e1</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E6:53"/><i><font color="Green" title="E49">A5</font></i>: 
<font color="Maroon" title="c5">e1</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="chord.html#E3:53"><i><font color="Green" title="E47">A3</font></i></a>, <a class="ref" href="chord.html#D3" target="_self" title="CHORD:def.3">Def3</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c6">e2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> <b> such that </b><br/><a NAME="E8:53"/><i><font color="Green" title="E50">A6</font></i>: 
<font color="Maroon" title="c6">e2</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c4">v3</font>,<font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="chord.html#E4:53"><i><font color="Green" title="E48">A4</font></i></a>, <a class="ref" href="chord.html#D3" target="_self" title="CHORD:def.3">Def3</a></i>;<br/>
<b>set </b><font color="Maroon" title="c7">P1</font> = <font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font>;<br/>
<a NAME="E9:53"/><i><font color="Green" title="E51">A7</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">v1</font>
 
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="ref" href="glib_001.html#T16" title="GLIB_001:th.16">GLIB_001:16</a></i>;<br/>
<a NAME="E10:53"/><i><font color="Green" title="E52">A8</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K4" title="GLIB_001:func.4">.last()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">v2</font>
 
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="ref" href="glib_001.html#T16" title="GLIB_001:th.16">GLIB_001:16</a></i>;<br/>
<a NAME="E11:53"/><i><font color="Green" title="E53">A9</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3
 
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="ref" href="glib_001.html#T15" title="GLIB_001:th.15">GLIB_001:15</a></i>;<br/>
<a NAME="E12:53"/><i><font color="Green" title="E54">A10</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K13" title="GLIB_001:func.13">.vertices()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span>
 
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="ref" href="glib_001.html#T92" title="GLIB_001:th.92">GLIB_001:92</a></i>;<br/>
<a NAME="E13:53"/><i><font color="Green" title="E55">A11</font></i>: 
not <font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font> is <a href="glib_001.html#V1" title="GLIB_001:attr.1">closed</a>
 
<b>by </b><i><a class="txt" href="chord.html#E1:53"><i><font color="Green" title="E45">A1</font></i></a>, <a class="txt" href="chord.html#E9:53"><i><font color="Green" title="E51">A7</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#D24" title="GLIB_001:def.24">GLIB_001:def 24</a></i>;<br/>
<b>set </b><font color="Maroon" title="c8">P</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K10" title="GLIB_001:func.10">.addEdge</a> <font color="Maroon" title="c6">e2</font>;<br/>
<a NAME="E14:53"/><i><font color="Green" title="E56">A12</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K10" title="GLIB_001:func.10">.addEdge</a> <font color="Maroon" title="c6">e2</font></span>)</span> <a href="glib_001.html#K3" title="GLIB_001:func.3">.first()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">v1</font>
 
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E9:53"><i><font color="Green" title="E51">A7</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#T64" title="GLIB_001:th.64">GLIB_001:64</a></i>;<br/>
<a NAME="E15:53"/><i><font color="Green" title="E57">A13</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K10" title="GLIB_001:func.10">.addEdge</a> <font color="Maroon" title="c6">e2</font></span>)</span> <a href="glib_001.html#K4" title="GLIB_001:func.4">.last()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v3</font>
 
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#T64" title="GLIB_001:th.64">GLIB_001:64</a></i>;<br/>
<a NAME="E16:53"/>
not <font color="Maroon" title="c4">v3</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K13" title="GLIB_001:func.13">.vertices()</a> 
 
<b>by </b><i><a class="txt" href="chord.html#E1:53"><i><font color="Green" title="E45">A1</font></i></a>, <a class="txt" href="chord.html#E2:53"><i><font color="Green" title="E46">A2</font></i></a>, <a class="txt" href="chord.html#E12:53"><i><font color="Green" title="E54">A10</font></i></a>, <a class="ref" href="tarski.html#D2" title="TARSKI:def.2">TARSKI:def 2</a></i>;<br/>
<b>then reconsider </b><font color="Maroon" title="c9">P</font> = <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K10" title="GLIB_001:func.10">.addEdge</a> <font color="Maroon" title="c6">e2</font> as   <a href="glib_001.html#NM5" title="GLIB_001:NM.5">Path</a> of <font color="Maroon" title="c1">G</font> <b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="txt" href="chord.html#E13:53"><i><font color="Green" title="E55">A11</font></i></a>, <a class="ref" href="glib_001.html#T152" title="GLIB_001:th.152">GLIB_001:152</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c9">P</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c5">e1</font>
;<br/>

<b>take </b>
<font color="Maroon" title="c6">e2</font>
;<br/>

<b>thus </b><a NAME="E18:53"/>
not <font color="Maroon" title="c9">P</font> is <a href="glib_001.html#V1" title="GLIB_001:attr.1">closed</a>
 <b>by </b><i><a class="txt" href="chord.html#E1:53"><i><font color="Green" title="E45">A1</font></i></a>, <a class="txt" href="chord.html#E14:53"><i><font color="Green" title="E56">A12</font></i></a>, <a class="txt" href="chord.html#E15:53"><i><font color="Green" title="E57">A13</font></i></a>, <a class="ref" href="glib_001.html#D24" title="GLIB_001:def.24">GLIB_001:def 24</a></i>;<br/>

<a NAME="E19:53"/><i><font color="Green" title="E58">A14</font></i>: 
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c9">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 3 <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 2
 
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="txt" href="chord.html#E11:53"><i><font color="Green" title="E53">A9</font></i></a>, <a class="ref" href="glib_001.html#T65" title="GLIB_001:th.65">GLIB_001:65</a></i>;<br/>
<b>hence </b><a NAME="E20:53"/>
 <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Maroon" title="c9">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 5
 ;<br/>

<a NAME="E21:53"/>
5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default">2 <a href="nat_1.html#K4" title="NAT_1:func.4">*</a> <span class="p2">(<span class="default"><font color="Maroon" title="c9">P</font> <a href="glib_001.html#K15" title="GLIB_001:func.15">.length()</a> </span>)</span></span>)</span> <a href="nat_1.html#K2" title="NAT_1:func.2">+</a> 1
 
<b>by </b><i><a class="txt" href="chord.html#E19:53"><i><font color="Green" title="E58">A14</font></i></a>, <a class="ref" href="glib_001.html#T113" title="GLIB_001:th.113">GLIB_001:113</a></i>;<br/>
<b>hence </b><a NAME="E22:53"/>
<font color="Maroon" title="c9">P</font> <a href="glib_001.html#K15" title="GLIB_001:func.15">.length()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2
 ;<br/>

<b>thus </b><a NAME="E23:53"/>
<font color="Maroon" title="c5">e1</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a></i>;<br/>

<b>thus </b><a NAME="E24:53"/>
<font color="Maroon" title="c6">e2</font> <a href="glib_000.html#R1" title="GLIB_000:pred.1">Joins</a> <font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c4">v3</font>,<font color="Maroon" title="c1">G</font>
 <b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a></i>;<br/>

<a NAME="E25:53"/>
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="glib_001.html#K14" title="GLIB_001:func.14">.edges()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">e1</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="ref" href="glib_001.html#T109" title="GLIB_001:th.109">GLIB_001:109</a></i>;<br/>
<a NAME="E26:53"/><b>then </b>
<font color="Maroon" title="c9">P</font> <a href="glib_001.html#K14" title="GLIB_001:func.14">.edges()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c5">e1</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Maroon" title="c6">e2</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#T112" title="GLIB_001:th.112">GLIB_001:112</a></i>;<br/>
<b>hence </b><a NAME="E27:53"/>
<font color="Maroon" title="c9">P</font> <a href="glib_001.html#K14" title="GLIB_001:func.14">.edges()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default"><font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c6">e2</font></span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span>
 <b>by </b><i><a class="ref" href="enumset1.html#T41" title="ENUMSET1:th.41">ENUMSET1:41</a></i>;<br/>

<a NAME="E28:53"/>
<font color="Maroon" title="c9">P</font> <a href="glib_001.html#K13" title="GLIB_001:func.13">.vertices()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K7" title="DOMAIN_1:func.7">{</a><span class="default"><font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font></span><a href="domain_1.html#K7" title="DOMAIN_1:func.7">}</a></span> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Maroon" title="c4">v3</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span>
 
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="txt" href="chord.html#E12:53"><i><font color="Green" title="E54">A10</font></i></a>, <a class="ref" href="glib_001.html#T96" title="GLIB_001:th.96">GLIB_001:96</a></i>;<br/>
<b>hence </b><a NAME="E29:53"/>
<font color="Maroon" title="c9">P</font> <a href="glib_001.html#K13" title="GLIB_001:func.13">.vertices()</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="enumset1.html#K1" title="ENUMSET1:func.1">{</a><span class="default"><font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c3">v2</font>,<font color="Maroon" title="c4">v3</font></span><a href="enumset1.html#K1" title="ENUMSET1:func.1">}</a></span>
 <b>by </b><i><a class="ref" href="enumset1.html#T43" title="ENUMSET1:th.43">ENUMSET1:43</a></i>;<br/>

<b>thus </b><a NAME="E30:53"/>
<font color="Maroon" title="c9">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">v1</font>
 <b>by </b><i><a class="txt" href="chord.html#E14:53"><i><font color="Green" title="E56">A12</font></i></a></i>;<br/>

<a NAME="E31:53"/>
3 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span>
 
<b>by </b><i><a class="txt" href="chord.html#E11:53"><i><font color="Green" title="E53">A9</font></i></a>, <a class="ref" href="finseq_3.html#T27" title="FINSEQ_3:th.27">FINSEQ_3:27</a></i>;<br/>
<b>hence </b><font color="Maroon" title="c9">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3 = 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">G</font> <a href="glib_001.html#K2" title="GLIB_001:func.2">.walkOf</a> <font color="Maroon" title="c2">v1</font>,<font color="Maroon" title="c5">e1</font>,<font color="Maroon" title="c3">v2</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 3
<b>by </b><i><a class="txt" href="chord.html#E8:53"><i><font color="Green" title="E50">A6</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#T66" title="GLIB_001:th.66">GLIB_001:66</a></i>
<br/>.= 
<font color="Maroon" title="c3">v2</font>
<b>by </b><i><a class="txt" href="chord.html#E6:53"><i><font color="Green" title="E49">A5</font></i></a>, <a class="txt" href="chord.html#E10:53"><i><font color="Green" title="E52">A8</font></i></a>, <a class="ref" href="glib_001.html#T15" title="GLIB_001:th.15">GLIB_001:15</a></i>
;<br/><br/>

<b>thus </b><a NAME="E33:53"/>
<font color="Maroon" title="c9">P</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 5 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">v3</font>
 <b>by </b><i><a class="txt" href="chord.html#E15:53"><i><font color="Green" title="E57">A13</font></i></a>, <a class="txt" href="chord.html#E19:53"><i><font color="Green" title="E58">A14</font></i></a></i>;<br/>


</div>
