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

<b>let </b><font color="Maroon">p1</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>, <font color="Maroon">p2</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>, <font color="Maroon">p3</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>, <font color="Maroon">p4</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/><b>let </b><font color="Maroon">P</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="compts_1.html#V6">compact</a> <a href="struct_0.html#NM2">Subset</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>



<b>assume </b><a NAME="E1:69"/><i><font color="Green">E30</font></i>: 
( <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">p</font> where <font color="Olive">p</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> : <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Olive">p</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 </span>}</span>  &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">P</font> &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p2</font>,<font color="Maroon">p3</font>,<font color="Maroon">P</font> &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p3</font>,<font color="Maroon">p4</font>,<font color="Maroon">P</font> &amp; <font color="Maroon">p1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p2</font> &amp; <font color="Maroon">p2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p3</font> &amp; <font color="Maroon">p3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p4</font> &amp; <font color="Maroon">p1</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p2</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p3</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p4</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 )
 ;<br/>

<a NAME="E2:69"/><b>then </b><i><font color="Green">E31</font></i>: 
( <font color="Maroon">p1</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p2</font> <a href="euclid.html#K21">`1</a>  &amp; <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a>  )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E10:69"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E3:69"/><i><font color="Green">E32</font></i>: 
( <font color="Maroon">p2</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p3</font> <a href="euclid.html#K21">`1</a>  &amp; <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a>  )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E10:69"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E4:69"/><i><font color="Green">E33</font></i>: 
( <font color="Maroon">p3</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p4</font> <a href="euclid.html#K21">`1</a>  &amp; <font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a>  )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E10:69"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E5:69"/>
<font color="Maroon">P</font> <a href="topreal2.html#NR1" target="_self">is_simple_closed_curve</a> 
 
<b>by </b><i>, <a class="ref" href="jgraph_3.html#T36">JGRAPH_3:36</a></i>;<br/>
<a NAME="E6:69"/><b>then </b><i><font color="Green">E34</font></i>: 
( <font color="Maroon">P</font> <a href="hidden.html#R1">=</a> <span class="p1">{<span class="default"> <font color="Olive">p</font> where <font color="Olive">p</font> is   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> : <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Olive">p</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 </span>}</span>  &amp; <font color="Maroon">p1</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p2</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p3</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp; <font color="Maroon">p4</font> <a href="hidden.html#R2">in</a> <font color="Maroon">P</font> &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p1</font>,<font color="Maroon">p2</font>,<font color="Maroon">P</font> &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p2</font>,<font color="Maroon">p3</font>,<font color="Maroon">P</font> &amp;  <a href="jordan6.html#R1">LE</a> <font color="Maroon">p3</font>,<font color="Maroon">p4</font>,<font color="Maroon">P</font> &amp; <font color="Maroon">p1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p2</font> &amp; <font color="Maroon">p2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p3</font> &amp; <font color="Maroon">p3</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p4</font> &amp; <font color="Maroon">p1</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p2</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p3</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p4</font> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 )
 
<b>by </b><i>, <a class="ref" href="jordan7.html#T5">JORDAN7:5</a></i>;<br/>
<b>then consider </b><font color="Maroon">p11</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E8:69"/><i><font color="Green">E45</font></i>: 
( <font color="Maroon">p11</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p1</font> &amp; <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p11</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 )
 ;<br/>
<b>consider </b><font color="Maroon">p22</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E10:69"/><i><font color="Green">E46</font></i>: 
( <font color="Maroon">p22</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font> &amp; <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p22</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 )
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">p33</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E12:69"/><i><font color="Green">E47</font></i>: 
( <font color="Maroon">p33</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p3</font> &amp; <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p33</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 )
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">p44</font> being   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E14:69"/><i><font color="Green">E48</font></i>: 
( <font color="Maroon">p44</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p4</font> &amp; <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p44</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1 )
 <b>by </b><i/>;<br/>
<a NAME="E15:69"/><i><font color="Green">E49</font></i>: 
(  <a href="real_1.html#K1">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a>  &amp; <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1 )
 
<b>by </b><i>, , </i>;<br/>
<b>then consider </b><font color="Maroon">f1</font> being   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E17:69"/><i><font color="Green">E73</font></i>: 
( <font color="Maroon">f1</font> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a>  &amp; <font color="Maroon">f1</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a>  )
 <b>by </b><i><a class="ref" href="jgraph_4.html#T48">JGRAPH_4:48</a></i>;<br/>
<a NAME="E18:69"/><i><font color="Green">E75</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p1</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E19:69"/><i><font color="Green">E77</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p2</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">q1</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font>;<br/>
<b>set </b><font color="Maroon">q2</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font>;<br/>
<b>set </b><font color="Maroon">q3</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font>;<br/>
<b>set </b><font color="Maroon">q4</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font>;<br/>
<a NAME="E20:69"/><i><font color="Green">E78</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T40">JGRAPH_4:40</a></i>;<br/>
<a NAME="E21:69"/><b>then </b><i><font color="Green">E79</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
;<br/>
<a NAME="E22:69"/><i><font color="Green">E80</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T40">JGRAPH_4:40</a></i>;<br/>
<a NAME="E23:69"/><b>then </b><i><font color="Green">E82</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
;<br/>
<a NAME="E24:69"/><i><font color="Green">E83</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E17:69"><i><font color="Green">E73</font></i></a>, <a class="ref" href="jgraph_4.html#T40">JGRAPH_4:40</a></i>;<br/>
<a NAME="E25:69"/><b>then </b><i><font color="Green">E84</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
;<br/>
<a NAME="E26:69"/><i><font color="Green">E85</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T40">JGRAPH_4:40</a></i>;<br/>
<a NAME="E27:69"/><b>then </b><i><font color="Green">E86</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
;<br/>
<a NAME="E28:69"/><i><font color="Green">E88</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E19:69"><i><font color="Green">E77</font></i></a>, <a class="ref" href="jgraph_4.html#T54">JGRAPH_4:54</a></i>;<br/>
<a NAME="E29:69"/><i><font color="Green">E89</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 )
 
<b>by </b><i>, <a class="ref" href="jgraph_5.html#T11" target="_self">Th11</a>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E20:69"><i><font color="Green">E78</font></i></a>, <a class="ref" href="jgraph_4.html#T49">JGRAPH_4:49</a></i>;<br/>
<a NAME="E30:69"/><i><font color="Green">E90</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p3</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E17:69"><i><font color="Green">E73</font></i></a>, <a class="txt" href="jgraph_5.html#E10:69"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E31:69"/><i><font color="Green">E94</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p3</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i><a class="ref" href="jgraph_5.html#T11" target="_self">Th11</a>, , <a class="txt" href="jgraph_5.html#E17:69"><i><font color="Green">E73</font></i></a>, <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<a NAME="E32:69"/><b>then </b><i><font color="Green">E95</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="ref" href="jgraph_4.html#T49">JGRAPH_4:49</a></i>;<br/>
<a NAME="E33:69"/><i><font color="Green">E97</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p4</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p3</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, , <a class="txt" href="jgraph_5.html#E10:69"><i><font color="Green">E46</font></i></a></i>;<br/>
<a NAME="E34:69"/>
<span class="p1">(<span class="default"><font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p4</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p2</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, , , <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<a NAME="E35:69"/><b>then </b><i><font color="Green">E98</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">p4</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">p4</font></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i><a class="ref" href="jgraph_5.html#T11" target="_self">Th11</a>, <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<a NAME="E36:69"/><i><font color="Green">E99</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, <a class="ref" href="jgraph_5.html#T11" target="_self">Th11</a>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E19:69"><i><font color="Green">E77</font></i></a>, <a class="txt" href="jgraph_5.html#E20:69"><i><font color="Green">E78</font></i></a>, <a class="txt" href="jgraph_5.html#E22:69"><i><font color="Green">E80</font></i></a>, <a class="txt" href="jgraph_5.html#E23:69"><i><font color="Green">E82</font></i></a>, <a class="ref" href="jgraph_4.html#T51">JGRAPH_4:51</a></i>;<br/>
<a NAME="E37:69"/><i><font color="Green">E100</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a>  )
 
<b>by </b><i>, <a class="ref" href="jgraph_5.html#T11" target="_self">Th11</a>, <a class="txt" href="jgraph_5.html#E17:69"><i><font color="Green">E73</font></i></a>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E19:69"><i><font color="Green">E77</font></i></a>, <a class="txt" href="jgraph_5.html#E20:69"><i><font color="Green">E78</font></i></a>, <a class="txt" href="jgraph_5.html#E22:69"><i><font color="Green">E80</font></i></a>, <a class="txt" href="jgraph_5.html#E23:69"><i><font color="Green">E82</font></i></a>, <a class="txt" href="jgraph_5.html#E25:69"><i><font color="Green">E84</font></i></a>, <a class="txt" href="jgraph_5.html#E27:69"><i><font color="Green">E86</font></i></a>, <a class="txt" href="jgraph_5.html#E29:69"><i><font color="Green">E89</font></i></a>, <a class="txt" href="jgraph_5.html#E30:69"><i><font color="Green">E90</font></i></a>, , , <a class="ref" href="jgraph_4.html#T51">JGRAPH_4:51</a></i>;<br/>
<a NAME="E38:69"/><i><font color="Green">E101</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E19:69"><i><font color="Green">E77</font></i></a>, <a class="txt" href="jgraph_5.html#E22:69"><i><font color="Green">E80</font></i></a>, <a class="txt" href="jgraph_5.html#E25:69"><i><font color="Green">E84</font></i></a>, , <a class="txt" href="jgraph_5.html#E30:69"><i><font color="Green">E90</font></i></a>, <a class="ref" href="jgraph_4.html#T51">JGRAPH_4:51</a></i>;<br/>
<a NAME="E39:69"/><i><font color="Green">E102</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E18:69"><i><font color="Green">E75</font></i></a>, <a class="txt" href="jgraph_5.html#E19:69"><i><font color="Green">E77</font></i></a>, <a class="txt" href="jgraph_5.html#E22:69"><i><font color="Green">E80</font></i></a>, <a class="txt" href="jgraph_5.html#E27:69"><i><font color="Green">E86</font></i></a>, , , <a class="ref" href="jgraph_4.html#T51">JGRAPH_4:51</a></i>;<br/>
<a NAME="E40:69"/><i><font color="Green">E103</font></i>: 
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E41:69"/><i><font color="Green">E105</font></i>: 
 <a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E28:69"><i><font color="Green">E88</font></i></a>, <a class="ref" href="xreal_1.html#T60">XREAL_1:60</a></i>;<br/>
<a NAME="E42:69"/><i><font color="Green">E106</font></i>: 
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E24:69"><i><font color="Green">E83</font></i></a>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E43:69"/><b>then </b><i><font color="Green">E107</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E35:69"><i><font color="Green">E98</font></i></a></i>;<br/>
<a NAME="E44:69"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E32:69"><i><font color="Green">E95</font></i></a>, <a class="ref" href="square_1.html#T78">SQUARE_1:78</a></i>;<br/>
<a NAME="E45:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="xreal_1.html#T52">XREAL_1:52</a></i>;<br/>
<a NAME="E46:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E38:69"><i><font color="Green">E101</font></i></a>, <a class="ref" href="xreal_1.html#T10">XREAL_1:10</a></i>;<br/>
<a NAME="E47:69"/><b>then </b>
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span></span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
;<br/>
<a NAME="E48:69"/><b>then </b><i><font color="Green">E136</font></i>: 
(  <a href="real_1.html#K1">-</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E36:69"><i><font color="Green">E99</font></i></a>, <a class="ref" href="jgraph_2.html#T6">JGRAPH_2:6</a></i>;<br/>
<a NAME="E49:69"/><i><font color="Green">E138</font></i>: 
 <a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T60">XREAL_1:60</a></i>;<br/>
<a NAME="E50:69"/>
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E26:69"><i><font color="Green">E85</font></i></a>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E51:69"/><b>then </b><i><font color="Green">E139</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E37:69"><i><font color="Green">E100</font></i></a></i>;<br/>
<a NAME="E52:69"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E32:69"><i><font color="Green">E95</font></i></a>, , <a class="ref" href="square_1.html#T78">SQUARE_1:78</a></i>;<br/>
<a NAME="E53:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="xreal_1.html#T52">XREAL_1:52</a></i>;<br/>
<a NAME="E54:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T10">XREAL_1:10</a></i>;<br/>
<a NAME="E55:69"/><b>then </b>
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span></span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
;<br/>
<a NAME="E56:69"/><b>then </b><i><font color="Green">E140</font></i>: 
(  <a href="real_1.html#K1">-</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span></span>)</span> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a>  <a href="real_1.html#K1">-</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E40:69"><i><font color="Green">E103</font></i></a>, <a class="ref" href="jgraph_2.html#T6">JGRAPH_2:6</a></i>;<br/>
<a NAME="E57:69"/>
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E58:69"/><b>then </b><i><font color="Green">E141</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E21:69"><i><font color="Green">E79</font></i></a>, , <a class="ref" href="square_1.html#T109">SQUARE_1:109</a></i>;<br/>
<a NAME="E59:69"/><b>then </b><i><font color="Green">E142</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i>, <a class="ref" href="euclid.html#T57">EUCLID:57</a></i>;<br/>
<a NAME="E60:69"/><i><font color="Green">E143</font></i>: 
(  <a href="real_1.html#K1">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1 )
 
<b>by </b><i>, , <a class="txt" href="jgraph_5.html#E28:69"><i><font color="Green">E88</font></i></a>, <a class="txt" href="jgraph_5.html#E32:69"><i><font color="Green">E95</font></i></a>, </i>;<br/>
<b>then consider </b><font color="Maroon">f2</font> being   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E62:69"/><i><font color="Green">E144</font></i>: 
( <font color="Maroon">f2</font> <a href="funct_2.html#R2">=</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"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a>  &amp; <font color="Maroon">f2</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a>  )
 <b>by </b><i><a class="ref" href="jgraph_4.html#T81">JGRAPH_4:81</a></i>;<br/>
<a NAME="E63:69"/><i><font color="Green">E145</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E64:69"/><i><font color="Green">E146</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E24:69"><i><font color="Green">E83</font></i></a></i>;<br/>
<b>set </b><font color="Maroon">r1</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">r2</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">r3</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">r4</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span>;<br/>
<a NAME="E65:69"/><i><font color="Green">E147</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T73">JGRAPH_4:73</a></i>;<br/>
<a NAME="E66:69"/><b>then </b><i><font color="Green">E148</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
;<br/>
<a NAME="E67:69"/><i><font color="Green">E149</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E24:69"><i><font color="Green">E83</font></i></a>, <a class="ref" href="jgraph_4.html#T73">JGRAPH_4:73</a></i>;<br/>
<a NAME="E68:69"/><b>then </b><i><font color="Green">E150</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
;<br/>
<a NAME="E69:69"/><i><font color="Green">E151</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E26:69"><i><font color="Green">E85</font></i></a>, <a class="ref" href="jgraph_4.html#T73">JGRAPH_4:73</a></i>;<br/>
<a NAME="E70:69"/><b>then </b><i><font color="Green">E152</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
;<br/>
<a NAME="E71:69"/><i><font color="Green">E153</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E32:69"><i><font color="Green">E95</font></i></a>, <a class="ref" href="jgraph_5.html#T12" target="_self">Th12</a>, <a class="ref" href="jgraph_5.html#T14" target="_self">Th14</a>, <a class="ref" href="jgraph_4.html#T87">JGRAPH_4:87</a></i>;<br/>
<a NAME="E72:69"/><i><font color="Green">E154</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E39:69"><i><font color="Green">E102</font></i></a>, <a class="ref" href="jgraph_5.html#T12" target="_self">Th12</a>, , <a class="ref" href="jgraph_4.html#T82">JGRAPH_4:82</a></i>;<br/>
<a NAME="E73:69"/><i><font color="Green">E155</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E26:69"><i><font color="Green">E85</font></i></a>, <a class="txt" href="jgraph_5.html#E41:69"><i><font color="Green">E105</font></i></a></i>;<br/>
<a NAME="E74:69"/><i><font color="Green">E157</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E26:69"><i><font color="Green">E85</font></i></a>, <a class="txt" href="jgraph_5.html#E39:69"><i><font color="Green">E102</font></i></a>, <a class="txt" href="jgraph_5.html#E41:69"><i><font color="Green">E105</font></i></a>, <a class="ref" href="xxreal_0.html#T2">XXREAL_0:2</a></i>;<br/>
<a NAME="E75:69"/><i><font color="Green">E158</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E43:69"><i><font color="Green">E107</font></i></a>, <a class="ref" href="jgraph_4.html#T56">JGRAPH_4:56</a></i>;<br/>
<a NAME="E76:69"/><i><font color="Green">E159</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E42:69"><i><font color="Green">E106</font></i></a>, <a class="ref" href="jgraph_4.html#T56">JGRAPH_4:56</a></i>;<br/>
<a NAME="E77:69"/>
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E78:69"/><b>then </b><i><font color="Green">E160</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i>, , <a class="ref" href="square_1.html#T109">SQUARE_1:109</a></i>;<br/>
<a NAME="E79:69"/><b>then </b><i><font color="Green">E162</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,1</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i>, <a class="ref" href="euclid.html#T57">EUCLID:57</a></i>;<br/>
<a NAME="E80:69"/><i><font color="Green">E163</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E32:69"><i><font color="Green">E95</font></i></a>, <a class="txt" href="jgraph_5.html#E39:69"><i><font color="Green">E102</font></i></a>, <a class="ref" href="jgraph_5.html#T12" target="_self">Th12</a>, <a class="ref" href="jgraph_5.html#T14" target="_self">Th14</a>, , , <a class="ref" href="jgraph_5.html#T15" target="_self">Th15</a>, <a class="ref" href="jgraph_4.html#T86">JGRAPH_4:86</a></i>;<br/>
<a NAME="E81:69"/><i><font color="Green">E164</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E31:69"><i><font color="Green">E94</font></i></a>, , <a class="txt" href="jgraph_5.html#E33:69"><i><font color="Green">E97</font></i></a>, <a class="txt" href="jgraph_5.html#E39:69"><i><font color="Green">E102</font></i></a>, <a class="ref" href="jgraph_5.html#T12" target="_self">Th12</a>, <a class="ref" href="jgraph_5.html#T14" target="_self">Th14</a>, , , <a class="ref" href="jgraph_5.html#T15" target="_self">Th15</a>, , <a class="ref" href="jgraph_5.html#T16" target="_self">Th16</a>, <a class="ref" href="jgraph_4.html#T86">JGRAPH_4:86</a></i>;<br/>
<a NAME="E82:69"/><b>then </b><i><font color="Green">E165</font></i>: 
0 <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i/>;<br/>
<a NAME="E83:69"/><i><font color="Green">E166</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 )
 
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E31:69"><i><font color="Green">E94</font></i></a>, , <a class="txt" href="jgraph_5.html#E33:69"><i><font color="Green">E97</font></i></a>, <a class="txt" href="jgraph_5.html#E39:69"><i><font color="Green">E102</font></i></a>, <a class="ref" href="jgraph_5.html#T12" target="_self">Th12</a>, <a class="ref" href="jgraph_5.html#T14" target="_self">Th14</a>, , , <a class="ref" href="jgraph_4.html#T82">JGRAPH_4:82</a></i>;<br/>
<a NAME="E84:69"/><i><font color="Green">E167</font></i>: 
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E85:69"/><i><font color="Green">E168</font></i>: 
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E16"><i><font color="Green">Lemma114</font></i></a>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E86:69"/><b>then </b><i><font color="Green">E169</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E87:69"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
<b>by </b><i>, , <a class="ref" href="square_1.html#T78">SQUARE_1:78</a></i>;<br/>
<a NAME="E88:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="xreal_1.html#T52">XREAL_1:52</a></i>;<br/>
<a NAME="E89:69"/><b>then </b><i><font color="Green">E170</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T10">XREAL_1:10</a></i>;<br/>
<a NAME="E90:69"/>
1 <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E91:69"/><b>then </b><i><font color="Green">E171</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span>
 
<b>by </b><i><a class="ref" href="jgraph_5.html#T17" target="_self">Th17</a></i>;<br/>
<a NAME="E92:69"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> 
 
<b>by </b><i>, , <a class="ref" href="square_1.html#T78">SQUARE_1:78</a></i>;<br/>
<a NAME="E93:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 
<b>by </b><i><a class="ref" href="xreal_1.html#T52">XREAL_1:52</a></i>;<br/>
<a NAME="E94:69"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K5">-</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span></span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i>, <a class="ref" href="xreal_1.html#T10">XREAL_1:10</a></i>;<br/>
<a NAME="E95:69"/><b>then </b><i><font color="Green">E172</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  )
 
<b>by </b><i>, , <a class="ref" href="jgraph_2.html#T6">JGRAPH_2:6</a></i>;<br/>
<a NAME="E96:69"/><i><font color="Green">E173</font></i>: 
(  <a href="real_1.html#K1">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E16"><i><font color="Green">Lemma114</font></i></a>, , , , </i>;<br/>
<b>then consider </b><font color="Maroon">f3</font> being   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E98:69"/><i><font color="Green">E174</font></i>: 
( <font color="Maroon">f3</font> <a href="funct_2.html#R2">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a>  &amp; <font color="Maroon">f3</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a>  )
 <b>by </b><i><a class="ref" href="jgraph_4.html#T112">JGRAPH_4:112</a></i>;<br/>
<a NAME="E99:69"/><i><font color="Green">E175</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E16"><i><font color="Green">Lemma114</font></i></a></i>;<br/>
<a NAME="E100:69"/><i><font color="Green">E176</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> 
 
<b>by </b><i/>;<br/>
<b>set </b><font color="Maroon">s1</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">s2</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">s3</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span>;<br/>
<b>set </b><font color="Maroon">s4</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span>;<br/>
<a NAME="E101:69"/><i><font color="Green">E177</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E16"><i><font color="Green">Lemma114</font></i></a>, <a class="ref" href="jgraph_4.html#T104">JGRAPH_4:104</a></i>;<br/>
<a NAME="E102:69"/><i><font color="Green">E178</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T104">JGRAPH_4:104</a></i>;<br/>
<a NAME="E103:69"/><i><font color="Green">E179</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, , <a class="txt" href="jgraph_5.html#E48:69"><i><font color="Green">E136</font></i></a>, <a class="txt" href="jgraph_5.html#E49:69"><i><font color="Green">E138</font></i></a>, <a class="ref" href="jgraph_4.html#T118">JGRAPH_4:118</a></i>;<br/>
<a NAME="E104:69"/><i><font color="Green">E180</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 )
 
<b>by </b><i>, , <a class="txt" href="jgraph_5.html#E48:69"><i><font color="Green">E136</font></i></a>, <a class="txt" href="jgraph_5.html#E51:69"><i><font color="Green">E139</font></i></a>, <a class="ref" href="jgraph_4.html#T114">JGRAPH_4:114</a></i>;<br/>
<a NAME="E105:69"/><i><font color="Green">E182</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i>, , <a class="ref" href="jgraph_4.html#T89">JGRAPH_4:89</a></i>;<br/>
<a NAME="E106:69"/><i><font color="Green">E183</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T89">JGRAPH_4:89</a></i>;<br/>
<a NAME="E107:69"/><i><font color="Green">E184</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,1</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i>, , <a class="ref" href="jgraph_4.html#T89">JGRAPH_4:89</a></i>;<br/>
<a NAME="E108:69"/><i><font color="Green">E185</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i>, , <a class="ref" href="jgraph_4.html#T89">JGRAPH_4:89</a></i>;<br/>
<a NAME="E109:69"/>
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="square_1.html#K5">^2</a>  <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E110:69"/><b>then </b>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E56:69"><i><font color="Green">E140</font></i></a>, <a class="txt" href="jgraph_5.html#E59:69"><i><font color="Green">E142</font></i></a>, <a class="ref" href="square_1.html#T109">SQUARE_1:109</a></i>;<br/>
<a NAME="E111:69"/><b>then </b><i><font color="Green">E187</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">1,0</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E59:69"><i><font color="Green">E142</font></i></a>, <a class="ref" href="euclid.html#T57">EUCLID:57</a></i>;<br/>
<a NAME="E112:69"/><i><font color="Green">E188</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="xxreal_0.html#NR4" target="_self">&gt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span>
 
<b>by </b><i>, , , <a class="txt" href="jgraph_5.html#E48:69"><i><font color="Green">E136</font></i></a>, <a class="txt" href="jgraph_5.html#E49:69"><i><font color="Green">E138</font></i></a>, <a class="txt" href="jgraph_5.html#E51:69"><i><font color="Green">E139</font></i></a>, <a class="ref" href="jgraph_4.html#T117">JGRAPH_4:117</a></i>;<br/>
<a NAME="E113:69"/><i><font color="Green">E189</font></i>: 
(  <a href="real_1.html#K1">-</a> 1 <a href="xxreal_0.html#NR3" target="_self">&lt;</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 1 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E58:69"><i><font color="Green">E141</font></i></a>, <a class="txt" href="jgraph_5.html#E60:69"><i><font color="Green">E143</font></i></a>, </i>;<br/>
<b>then consider </b><font color="Maroon">f4</font> being   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span><b> such that </b><br/><a NAME="E115:69"/><i><font color="Green">E190</font></i>: 
( <font color="Maroon">f4</font> <a href="funct_2.html#R2">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a>  &amp; <font color="Maroon">f4</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a>  )
 <b>by </b><i><a class="ref" href="jgraph_4.html#T143">JGRAPH_4:143</a></i>;<br/>
<a NAME="E116:69"/><i><font color="Green">E191</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="real_1.html#K6">/</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E58:69"><i><font color="Green">E141</font></i></a></i>;<br/>
<b>set </b><font color="Maroon">t4</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E117:69"/><i><font color="Green">E192</font></i>: 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> 1
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E58:69"><i><font color="Green">E141</font></i></a>, <a class="ref" href="jgraph_4.html#T135">JGRAPH_4:135</a></i>;<br/>
<a NAME="E118:69"/><i><font color="Green">E193</font></i>: 
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0 &amp; <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a>  <a href="hidden.html#R1">=</a> 0 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E58:69"><i><font color="Green">E141</font></i></a>, <a class="txt" href="jgraph_5.html#E59:69"><i><font color="Green">E142</font></i></a>, <a class="txt" href="jgraph_5.html#E67:69"><i><font color="Green">E149</font></i></a>, <a class="txt" href="jgraph_5.html#E68:69"><i><font color="Green">E150</font></i></a>, <a class="txt" href="jgraph_5.html#E70:69"><i><font color="Green">E152</font></i></a>, <a class="ref" href="jgraph_4.html#T149">JGRAPH_4:149</a></i>;<br/>
<a NAME="E119:69"/><i><font color="Green">E194</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E62:69"><i><font color="Green">E144</font></i></a>, <a class="txt" href="jgraph_5.html#E63:69"><i><font color="Green">E145</font></i></a>, <a class="ref" href="jgraph_4.html#T120">JGRAPH_4:120</a></i>;<br/>
<a NAME="E120:69"/><i><font color="Green">E195</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,1</span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E64:69"><i><font color="Green">E146</font></i></a>, <a class="txt" href="jgraph_5.html#E65:69"><i><font color="Green">E147</font></i></a>, <a class="ref" href="jgraph_4.html#T120">JGRAPH_4:120</a></i>;<br/>
<a NAME="E121:69"/><i><font color="Green">E196</font></i>: 
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<b>by </b><i><a class="txt" href="jgraph_5.html#E59:69"><i><font color="Green">E142</font></i></a>, <a class="txt" href="jgraph_5.html#E66:69"><i><font color="Green">E148</font></i></a>, <a class="ref" href="jgraph_4.html#T120">JGRAPH_4:120</a></i>;<br/>
<a NAME="E122:69"/>
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a 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class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span> <a href="real_1.html#K3">+</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="square_1.html#K5">^2</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="jgraph_3.html#T10">JGRAPH_3:10</a></i>;<br/>
<a NAME="E123:69"/><b>then </b>
( <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a>  <a href="real_1.html#K1">-</a> 1 or <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a>  <a href="hidden.html#R1">=</a> 1 )
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E71:69"><i><font color="Green">E153</font></i></a>, <a class="txt" href="jgraph_5.html#E72:69"><i><font color="Green">E154</font></i></a>, <a class="ref" href="square_1.html#T109">SQUARE_1:109</a></i>;<br/>
<a NAME="E124:69"/><b>then </b><i><font color="Green">E197</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K9">-FanMorphS</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K7">-FanMorphE</a> </span>)</span> <a href="funct_2.html#K3">.</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"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span> <a href="euclid.html#K21">`1</a> </span>)</span> <a href="jgraph_4.html#K5">-FanMorphN</a> </span>)</span> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">p1</font> <a href="euclid.html#K22">`2</a> </span>)</span> <a href="jgraph_4.html#K3">-FanMorphW</a> </span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="euclid.html#K23">]|</a></span>
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E72:69"><i><font color="Green">E154</font></i></a>, <a class="ref" href="euclid.html#T57">EUCLID:57</a></i>;<br/>
<b>reconsider </b><font color="Maroon">g</font> = <font color="Maroon">f4</font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p2">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> as   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> ;<br/>
<a NAME="E126:69"/>
<font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i>, , <a class="ref" href="tops_2.html#T71">TOPS_2:71</a></i>;<br/>
<a NAME="E127:69"/><b>then </b>
<font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i>, <a class="ref" href="tops_2.html#T71">TOPS_2:71</a></i>;<br/>
<a NAME="E128:69"/><b>then </b><i><font color="Green">E198</font></i>: 
<font color="Maroon">g</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a> 
 
<b>by </b><i><a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, <a class="ref" href="tops_2.html#T71">TOPS_2:71</a></i>;<br/>
<a NAME="E129:69"/><i><font color="Green">E199</font></i>: 
 <a href="relset_1.html#K4">dom</a> <font color="Maroon">g</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E130:69"/><i><font color="Green">E200</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E131:69"/><i><font color="Green">E201</font></i>: 
 <a href="relset_1.html#K4">dom</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p2">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<a NAME="E132:69"/><i><font color="Green">E202</font></i>: 
for <font color="Olive">q</font> being  <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> holds  <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Olive">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Olive">q</font></span><a href="toprns_1.html#K5">.|</a></span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="69_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">q</font> be   <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>;<br/>

<i><font color="Green">E203</font></i>: <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> = 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">f2</font> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><font color="Maroon">f1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">f1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T73">JGRAPH_4:73</a></i>
<br/>.= 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">q</font></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i>, <a class="ref" href="jgraph_4.html#T40">JGRAPH_4:40</a></i>
;<br/>
<i><font color="Green">E204</font></i>: <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p4">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> = 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">f3</font> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E79:69"><i><font color="Green">E162</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">q</font></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i>, <a class="txt" href="jgraph_5.html#E81:69"><i><font color="Green">E164</font></i></a>, <a class="ref" href="jgraph_4.html#T104">JGRAPH_4:104</a></i>
;<br/>
<b>thus </b><span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> = 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p5">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">q</font></span>)</span></span>)</span></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E78:69"><i><font color="Green">E160</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Maroon">q</font></span><a href="toprns_1.html#K5">.|</a></span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, <a class="txt" href="jgraph_5.html#E82:69"><i><font color="Green">E165</font></i></a>, <a class="ref" href="jgraph_4.html#T135">JGRAPH_4:135</a></i>
;<br/>


</div><b>end;</b></div>
<i><font color="Green">E205</font></i>: <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font> = 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E78:69"><i><font color="Green">E160</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E79:69"><i><font color="Green">E162</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span>
<b>by </b><i>, , , <a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, <a class="txt" href="jgraph_5.html#E73:69"><i><font color="Green">E155</font></i></a>, , <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
;<br/>
<i><font color="Green">E206</font></i>: <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font> = 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E78:69"><i><font color="Green">E160</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E79:69"><i><font color="Green">E162</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,1</span><a href="euclid.html#K23">]|</a></span>
<b>by </b><i>, , , <a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, , , <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
;<br/>
<i><font color="Green">E207</font></i>: <font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font> = 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E78:69"><i><font color="Green">E160</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E79:69"><i><font color="Green">E162</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default">1,0</span><a href="euclid.html#K23">]|</a></span>
<b>by </b><i>, , , <a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, <a class="txt" href="jgraph_5.html#E74:69"><i><font color="Green">E157</font></i></a>, , <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
;<br/>
<font color="Maroon">g</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font> = 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">f3</font> <a href="partfun1.html#K1">*</a> <span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E78:69"><i><font color="Green">E160</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<font color="Maroon">f4</font> <a href="funct_2.html#K3">.</a> <span class="p1">(<span class="default"><font color="Maroon">f3</font> <a href="funct_2.html#K3">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">f2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">f1</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="jgraph_5.html#E79:69"><i><font color="Green">E162</font></i></a>, <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
<br/>.= 
<span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="euclid.html#K23">]|</a></span>
<b>by </b><i>, , , <a class="txt" href="jgraph_5.html#E69:69"><i><font color="Green">E151</font></i></a>, <a class="txt" href="jgraph_5.html#E75:69"><i><font color="Green">E158</font></i></a>, , <a class="ref" href="funct_1.html#T22">FUNCT_1:22</a></i>
;<br/>
<b>hence </b><a NAME="E137:69"/>
 ex <font color="Olive">f</font> being  <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> st <br/>( <font color="Olive">f</font> <a href="tops_2.html#NR1" target="_self">is_homeomorphism</a>  &amp; ( for <font color="Olive">q</font> being  <a href="pre_topc.html#NM2">Point</a> of <span class="p1">(<span class="default"><a href="euclid.html#K15">TOP-REAL</a> 2</span>)</span> holds  <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Olive">q</font></span>)</span></span><a href="toprns_1.html#K5">.|</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="toprns_1.html#K5">|.</a><span class="default"><font color="Olive">q</font></span><a href="toprns_1.html#K5">.|</a></span> ) &amp; <span class="p1"><a href="euclid.html#K23">|[</a><span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span>,0</span><a href="euclid.html#K23">]|</a></span> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p1</font> &amp; <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,1</span><a href="euclid.html#K23">]|</a></span> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p2</font> &amp; <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">1,0</span><a href="euclid.html#K23">]|</a></span> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p3</font> &amp; <span class="p1"><a href="euclid.html#K23">|[</a><span class="default">0,<span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span></span><a href="euclid.html#K23">]|</a></span> <a href="hidden.html#R1">=</a> <font color="Olive">f</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">p4</font> )
 <b>by </b><i><a class="txt" href="jgraph_5.html#E76:69"><i><font color="Green">E159</font></i></a>, <a class="txt" href="jgraph_5.html#E80:69"><i><font color="Green">E163</font></i></a>, <a class="txt" href="jgraph_5.html#E81:69"><i><font color="Green">E164</font></i></a>, <a class="txt" href="jgraph_5.html#E82:69"><i><font color="Green">E165</font></i></a>, <a class="txt" href="jgraph_5.html#E83:69"><i><font color="Green">E166</font></i></a></i>;<br/>


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