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

<b>let </b><font color="Maroon">V</font> be   <a href="rlvect_1.html#NM2">RealLinearSpace</a>;<br/><b>let </b><font color="Maroon">w</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">y</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/>





<b>assume </b><a NAME="E1:61"/><i><font color="Green">E45</font></i>: 
 <a href="analmetr.html#R1">Gen</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>
 ;<br/>

<b>let </b><font color="Maroon">u</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">u'</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">u1</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">u2</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">t1</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">t2</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<br/><b>let </b><font color="Maroon">A1</font> be   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">A2</font> be   <a href="real_1.html#NM1">Real</a>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E2:61"/>
<font color="Maroon">u</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">u'</font>
 <b>and </b><br/><a NAME="E3:61"/><i><font color="Green">E46</font></i>: 
<font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span>
 <b>and </b><br/><a NAME="E4:61"/><i><font color="Green">E47</font></i>: 
<font color="Maroon">A2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span>
 <b>and </b><br/><a NAME="E5:61"/><i><font color="Green">E67</font></i>: 
( <font color="Maroon">t1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">u1</font> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">A1</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> &amp; <font color="Maroon">t2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">u2</font> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">A2</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> )
 ;<br/>

<b>thus </b><a NAME="E6:61"/>
( <font color="Maroon">t2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">t1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="real_1.html#K5">-</a> <font color="Maroon">A1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> &amp; <font color="Maroon">A2</font> <a href="real_1.html#K5">-</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 2</span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> )
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="61_1"><b>proof </b></a><div class="add">

<b>set </b><font color="Maroon">uu</font> = <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span>;<br/>
<a NAME="E1:61_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 2</span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="61_1_1"><b>proof </b></a><div class="add">

<i><font color="Green">E72</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u1</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span></span>)</span>

<br/>.= 
 <a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u1</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span></span>)</span>
<b>by </b><i>, </i>
;<br/>
<span class="p1">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u1</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span> = 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u2</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u1</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T47">RLVECT_1:47</a></i>
<br/>.= 
 <a href="rlvect_1.html#K5">-</a> <span class="p1">(<span class="default">2 <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T48">RLVECT_1:48</a></i>
<br/>.= 
2 <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T39">RLVECT_1:39</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 2</span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T38">RLVECT_1:38</a></i>
;<br/>
<b>hence </b><a NAME="E3:61_1_1"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default">2 <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p4">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 2</span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span>
 <b>by </b><i>, <a class="ref" href="geomtrap.html#T12" target="_self">Th12</a>, </i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:61_1"/>
( <font color="Maroon">t2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">t1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">A2</font> <a href="real_1.html#K5">-</a> <font color="Maroon">A1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> &amp; <font color="Maroon">A2</font> <a href="real_1.html#K5">-</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 2</span>)</span> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u2</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u1</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="geomtrap.html#K4" target="_self">PProJ</a> <font color="Maroon">w</font>,<font color="Maroon">y</font>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span>,<span class="p3">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u'</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> )
 <b>by </b><i>, <a class="ref" href="geomtrap.html#T9" target="_self">Th9</a>, <a class="ref" href="geomtrap.html#T10" target="_self">Th10</a>, , <a class="ref" href="xcmplx_1.html#T40">XCMPLX_1:40</a></i>;<br/>


</div><b>end;</b></div>


</div>
