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

<b>let </b><font color="Maroon">u</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> , <font color="Maroon">u'</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> ;<br/>

<b>assume </b><a NAME="E1:18"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">u</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">u'</font>
 ;<br/>

<b>let </b><font color="Maroon">v</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> , <font color="Maroon">v'</font> be   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a> ;<br/>

<b>reconsider </b><font color="Maroon">uu</font> = <font color="Maroon">u</font>, <font color="Maroon">uu'</font> = <font color="Maroon">u'</font>, <font color="Maroon">vv</font> = <font color="Maroon">v</font>, <font color="Maroon">vv'</font> = <font color="Maroon">v'</font> as   <a href="real_1.html#NM1">Real</a> ;<br/>
<b>consider </b><font color="Maroon">aa</font> being   <a href="real_1.html#NM1">Real</a><b> such that </b><br/><a NAME="E4:18"/><i><font color="Green">E25</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">uu</font> <a href="real_1.html#K4">*</a> <font color="Maroon">aa</font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">vv</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">uu'</font> <a href="real_1.html#K4">*</a> <font color="Maroon">aa</font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">vv'</font>
 <b>by </b><i>, </i>;<br/>
<b>reconsider </b><font color="Maroon">a</font> = <font color="Maroon">aa</font> as   <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a>  ;<br/>
<a NAME="E6:18"/>
(  <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u</font>,<font color="Maroon">a</font>,<font color="Maroon">v</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">uu</font> <a href="real_1.html#K4">*</a> <font color="Maroon">aa</font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">vv</font> &amp;  <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u'</font>,<font color="Maroon">a</font>,<font color="Maroon">v'</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">uu'</font> <a href="real_1.html#K4">*</a> <font color="Maroon">aa</font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">vv'</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E7:18"/>
 ex <font color="Olive">a</font> being  <a href="algstr_3.html#NM1">Scalar</a> of <a href="algstr_3.html#K4" target="_self">TernaryFieldEx</a>  st  <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u</font>,<font color="Olive">a</font>,<font color="Maroon">v</font> <a href="hidden.html#R1">=</a>  <a href="algstr_3.html#K1" target="_self">Tern</a> <font color="Maroon">u'</font>,<font color="Olive">a</font>,<font color="Maroon">v'</font>
 <b>by </b><i/>;<br/>


</div>
