<?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>given </b><font color="Maroon">p</font> being   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>, <font color="Maroon">q</font> being   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font><b> such that </b><a NAME="E1:22"/><i><font color="Green">E32</font></i>: 
for <font color="Olive">w</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>  ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="real_1.html#NM1">Real</a> st <span class="p1">(<span class="default"><font color="Olive">a</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Olive">b</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Olive">w</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>;<br/><b>let </b><font color="Maroon">v</font> be   <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font>;<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="E2:22"/><i><font color="Green">E36</font></i>: 
( not <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Maroon">y</font> &amp; not <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">y</font>,<font color="Maroon">w</font> )
 ;<br/>

<b>consider </b><font color="Maroon">r1</font> being   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">s1</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E4:22"/><i><font color="Green">E41</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D1" target="_self">Def1</a></i>;<br/>
<b>consider </b><font color="Maroon">r2</font> being   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">s2</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E6:22"/><i><font color="Green">E43</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D1" target="_self">Def1</a></i>;<br/>
<b>consider </b><font color="Maroon">r3</font> being   <a href="real_1.html#NM1">Real</a>, <font color="Maroon">s3</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E8:22"/><i><font color="Green">E44</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="analoaf.html#D1" target="_self">Def1</a></i>;<br/>
<b>set </b><font color="Maroon">r</font> = <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span>;<br/>
<div><i><font color="Green">E45</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1"/><i><font color="Green">E46</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="hidden.html#R1">=</a> 0
 ;<br/><a NAME="E2:22_1"/><b>then </b><i><font color="Green">E47</font></i>: 
<font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font>
 ;<br/><div><i><font color="Green">E55</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1_1"/><i><font color="Green">E56</font></i>: 
<font color="Maroon">r1</font> <a href="hidden.html#R1">=</a> 0
 ;<br/><a NAME="E2:22_1_1"/><i><font color="Green">E60</font></i>: 
<font color="Maroon">s1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_1_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:22_1_1_1"/>
<font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<b>then </b><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default">0 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E3"><i><font color="Green">Lemma28</font></i></a>, <a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/>
<a NAME="E3:22_1_1_1"/><b>then </b>
<font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <font color="Maroon">v</font>
 
<b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/>
<b>hence </b><a NAME="E4:22_1_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/>


</div><b>end;</b></div><a NAME="E3:22_1_1"/><b>then </b><i><font color="Green">E61</font></i>: 
<font color="Maroon">r2</font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="ref" href="analoaf.html#T10" target="_self">Th10</a>, <a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/><a NAME="E4:22_1_1"/><i><font color="Green">E71</font></i>: 
<font color="Maroon">s2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_1_2"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:22_1_1_2"/>
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<b>then </b><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default">0 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/>
<a NAME="E3:22_1_1_2"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font>
 
<b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/>
<b>hence </b><a NAME="E4:22_1_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/>


</div><b>end;</b></div><i><font color="Green">E72</font></i>: <font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E3"><i><font color="Green">Lemma28</font></i></a>, <a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/><i><font color="Green">E73</font></i>: <font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/><i><font color="Green">E74</font></i>: <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</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"><font color="Maroon">s1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="analoaf.html#T17" target="_self">Th17</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
1 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/><span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="analoaf.html#T19" target="_self">Th19</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
1 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="analoaf.html#T16" target="_self">Th16</a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<font color="Maroon">q</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/><a NAME="E9:22_1_1"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> &amp; <font color="Maroon">s1</font> <a href="real_1.html#K2">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">s2</font> <a href="real_1.html#K2">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 <b>by </b><i><a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="analoaf.html#T16" target="_self">Th16</a>, <a class="txt" href="analoaf.html#E4:22"><i><font color="Green">E41</font></i></a>, <a class="ref" href="xcmplx_1.html#T203">XCMPLX_1:203</a></i>;<br/><b>hence </b><a NAME="E10:22_1_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/></div><b>end;</b></div><div><i><font color="Green">E75</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1_2"/><i><font color="Green">E76</font></i>: 
( <font color="Maroon">r1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">r2</font> <a href="hidden.html#R1">=</a> 0 )
 ;<br/><a NAME="E2:22_1_2"/>
<font color="Maroon">s2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_2_1"><b>proof </b></a><div class="add">

<b>assume </b><a NAME="E1:22_1_2_1"/>
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> 0
 ;<br/>

<b>then </b><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font> = 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default">0 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/>
<a NAME="E3:22_1_2_1"/><b>then </b>
<font color="Maroon">y</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font>
 
<b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/>
<b>hence </b><a NAME="E4:22_1_2_1"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/>


</div><b>end;</b></div><b>hence </b><a NAME="E3:22_1_2"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E1:22"><i><font color="Green">E32</font></i></a>, <a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/></div><b>end;</b></div><div><i><font color="Green">E77</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_3"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1_3"/><i><font color="Green">E78</font></i>: 
( <font color="Maroon">r1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">r2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">s1</font> <a href="hidden.html#R1">=</a> 0 )
 ;<br/><a NAME="E2:22_1_3"/><b>then </b><i><font color="Green">E79</font></i>: 
<font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> 0
 <b>by </b><i><a class="txt" href="analoaf.html#E1:22"><i><font color="Green">E32</font></i></a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/><i><font color="Green">E80</font></i>: <font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font> = 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E3"><i><font color="Green">Lemma28</font></i></a>, <a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/><i><font color="Green">E81</font></i>: <font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font> = 
<span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="ref" href="analoaf.html#T16" target="_self">Th16</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>
<br/>.= 
<font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/><i><font color="Green">E82</font></i>: <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</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"><font color="Maroon">r1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="analoaf.html#T17" target="_self">Th17</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
1 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/><span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="analoaf.html#T19" target="_self">Th19</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
1 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/><a NAME="E7:22_1_3"/><b>then </b>
( <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K2">"</a> </span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> &amp; <font color="Maroon">r1</font> <a href="real_1.html#K2">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">r2</font> <a href="real_1.html#K2">"</a>  <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 <b>by </b><i><a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="txt" href="analoaf.html#E4:22"><i><font color="Green">E41</font></i></a>, <a class="ref" href="xcmplx_1.html#T203">XCMPLX_1:203</a></i>;<br/><b>hence </b><a NAME="E8:22_1_3"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/></div><b>end;</b></div><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_1_4"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_1_4"/><i><font color="Green">E83</font></i>: 
( <font color="Maroon">r1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">r2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">s1</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <font color="Maroon">s2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 ;<br/><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E3"><i><font color="Green">Lemma28</font></i></a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">r2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T10" target="_self">Th10</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/><b>hence </b><a NAME="E3:22_1_4"/>
contradiction
 <b>by </b><i><a class="txt" href="analoaf.html#E2"><i><font color="Green">Lemma27</font></i></a>, <a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, </i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E7:22_1"/>
contradiction
 <b>by </b><i><a class="ref" href="analoaf.html#T10" target="_self">Th10</a>, <a class="ref" href="analoaf.html#T11" target="_self">Th11</a>, <a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/></div><b>end;</b></div>
<b>set </b><font color="Maroon">a</font> = <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span>;<br/>
<b>set </b><font color="Maroon">b</font> = <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span>;<br/>
<a NAME="E10:22"/><i><font color="Green">E84</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span></span>)</span>
 
;<br/>
<a NAME="E11:22"/><i><font color="Green">E85</font></i>: 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">s1</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="real_1.html#K3">+</a> <span class="p1">(<span class="default"><font color="Maroon">s3</font> <a href="real_1.html#K4">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span></span>)</span>
 
;<br/>
<div><i><font color="Green">E86</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_2"/>
( <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="hidden.html#R1">=</a> 0 &amp; <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="hidden.html#R1">=</a> 0 )
 ;<br/><a NAME="E2:22_2"/><b>then </b>
( <font color="Maroon">r3</font> <a href="hidden.html#R1">=</a> 0 &amp; <font color="Maroon">s3</font> <a href="hidden.html#R1">=</a> 0 )
 <b>by </b><i><a class="ref" href="analoaf.html#T9" target="_self">Th9</a>, <a class="txt" href="analoaf.html#E1:22"><i><font color="Green">E32</font></i></a>, <a class="ref" href="analoaf.html#T10" target="_self">Th10</a>, <a class="ref" href="xcmplx_1.html#T6">XCMPLX_1:6</a></i>;<br/><a NAME="E3:22_2"/><b>then </b>
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default">0 <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="analoaf.html#T6" target="_self">Th6</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>;<br/><a NAME="E4:22_2"/><b>then </b>
<span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>;<br/><a NAME="E5:22_2"/><b>then </b>
 <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>;<br/><a NAME="E6:22_2"/><b>then </b>
<font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/><a NAME="E7:22_2"/><b>then </b>
( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Maroon">u</font> &amp; <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Maroon">u</font> )
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E8:22_2"/>
 ex <font color="Olive">z</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <br/>( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Olive">z</font> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Olive">z</font> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">w</font> ) )
 ;<br/></div><b>end;</b></div>
<b>set </b><font color="Maroon">z</font> = <font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span>;<br/>
<i><font color="Green">E87</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <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"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></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#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T48">RLVECT_1:48</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span>

<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T9" target="_self">Th9</a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D6">RLVECT_1:def 6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T28">RLVECT_1:28</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T10">RLVECT_1:10</a></i>
;<br/>
<i><font color="Green">E88</font></i>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></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#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#T48">RLVECT_1:48</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span>

<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default">1 <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T9" target="_self">Th9</a>, <a class="ref" href="xcmplx_0.html#D7">XCMPLX_0:def 7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">u</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">w</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D6">RLVECT_1:def 6</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E3"><i><font color="Green">Lemma28</font></i></a>, <a class="ref" href="analoaf.html#T6" target="_self">Th6</a>, <a class="ref" href="rlvect_1.html#T48">RLVECT_1:48</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s1</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">s3</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D6">RLVECT_1:def 6</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D6">RLVECT_1:def 6</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D6">RLVECT_1:def 6</a></i>
<br/>.= 
<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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r1</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r3</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span>
<b>by </b><i><a class="txt" href="analoaf.html#E1:22"><i><font color="Green">E32</font></i></a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r2</font></span>)</span> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">q</font></span>)</span></span>)</span> <a href="rlvect_1.html#K4">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p3">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="rlvect_1.html#K3">*</a> <font color="Maroon">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><font color="Maroon">y</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span>
<b>by </b><i><a class="ref" href="analoaf.html#T4" target="_self">Th4</a>, <a class="ref" href="rlvect_1.html#D9">RLVECT_1:def 9</a></i>
;<br/>
<div><i><font color="Green">E89</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_5"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_5"/><i><font color="Green">E90</font></i>: 
( <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="hidden.html#R1">=</a> 0 &amp; <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 ;<br/><a NAME="E2:22_5"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>by </b><i><a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>;<br/><a NAME="E3:22_5"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>by </b><i><a class="ref" href="analoaf.html#T9" target="_self">Th9</a>, <a class="ref" href="rlvect_1.html#T24">RLVECT_1:24</a></i>;<br/><a NAME="E4:22_5"/><b>then </b>
<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">u</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/><a NAME="E5:22_5"/><b>then </b>
( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span>,<font color="Maroon">w</font> ) )
 <b>by </b><i><a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="analoaf.html#T16" target="_self">Th16</a>, , </i>;<br/><b>hence </b><a NAME="E6:22_5"/>
 ex <font color="Olive">z</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <br/>( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Olive">z</font> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Olive">z</font> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">w</font> ) )
 ;<br/></div><b>end;</b></div>
<div><i><font color="Green">E91</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="22_6"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_6"/><i><font color="Green">E92</font></i>: 
( <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="hidden.html#R1">=</a> 0 )
 ;<br/><a NAME="E2:22_6"/><b>then </b>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p2">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p4">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>by </b><i><a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, <a class="ref" href="rlvect_1.html#T23">RLVECT_1:23</a></i>;<br/><a NAME="E3:22_6"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p0">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p4">(<span class="default"><span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p3">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">w</font> <a href="hidden.html#R1">=</a>  <a href="rlvect_1.html#K1">0.</a> <font color="Maroon">V</font>
 <b>by </b><i><a class="ref" href="analoaf.html#T9" target="_self">Th9</a>, <a class="ref" href="rlvect_1.html#T24">RLVECT_1:24</a></i>;<br/><a NAME="E4:22_6"/><b>then </b>
<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">w</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#T35">RLVECT_1:35</a></i>;<br/><a NAME="E5:22_6"/><b>then </b>
( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span>,<font color="Maroon">u</font> ) &amp; <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> )
 <b>by </b><i><a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="ref" href="analoaf.html#T17" target="_self">Th17</a>, , </i>;<br/><b>hence </b><a NAME="E6:22_6"/>
 ex <font color="Olive">z</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <br/>( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Olive">z</font> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Olive">z</font> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">w</font> ) )
 ;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="22_7"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:22_7"/>
( <span class="p1">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 &amp; <span class="p1">(<span class="default"><font color="Maroon">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> 0 )
 ;<br/><a NAME="E2:22_7"/><b>then </b>
( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font> <a href="rlvect_1.html#K4">+</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">r1</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p5">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s1</font></span>)</span></span>)</span> <a href="real_1.html#K2">"</a> </span>)</span> <a href="real_1.html#K4">*</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><font color="Maroon">r2</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s3</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p4">(<span class="default"><font color="Maroon">r3</font> <a href="real_1.html#K4">*</a> <font color="Maroon">s2</font></span>)</span></span>)</span></span>)</span> <a href="rlvect_1.html#K3">*</a> <span class="p2">(<span class="default"><font color="Maroon">v</font> <a href="rlvect_1.html#K6">-</a> <font color="Maroon">u</font></span>)</span></span>)</span>,<font color="Maroon">w</font> ) )
 <b>by </b><i><a class="ref" href="analoaf.html#T12" target="_self">Th12</a>, <a class="txt" href="analoaf.html#E2:22"><i><font color="Green">E36</font></i></a>, </i>;<br/><b>hence </b><a NAME="E3:22_7"/>
 ex <font color="Olive">z</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <br/>( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Olive">z</font> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Olive">z</font> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">w</font> ) )
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E18:22"/>
 ex <font color="Olive">z</font> being  <a href="rlvect_1.html#NM1">VECTOR</a> of <font color="Maroon">V</font> st <br/>( ( <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">u</font>,<font color="Olive">z</font> or <font color="Maroon">u</font>,<font color="Maroon">v</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">u</font> ) &amp; ( <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Maroon">w</font>,<font color="Olive">z</font> or <font color="Maroon">w</font>,<font color="Maroon">y</font> <a href="analoaf.html#R1" target="_self">//</a> <font color="Olive">z</font>,<font color="Maroon">w</font> ) )
 <b>by </b><i><a class="ref" href="analoaf.html#T11" target="_self">Th11</a>, <a class="ref" href="analoaf.html#T13" target="_self">Th13</a>, <a class="ref" href="analoaf.html#T16" target="_self">Th16</a></i>;<br/>


</div>
