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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="afvect0.html#NM1">WeakAffVect</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>







<div><i><font color="Green">E29</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="44_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:44_1"/>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>
 ;<br/><a NAME="E2:44_1"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="afvect0.html#T36" target="_self">Th36</a></i>;<br/><a NAME="E3:44_1"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="afvect0.html#T44" target="_self">Th44</a></i>;<br/><a NAME="E4:44_1"/><b>then </b>
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T43" target="_self">Th43</a></i>;<br/><a NAME="E5:44_1"/><b>then </b><i><font color="Green">E30</font></i>: 
(  <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="afvect0.html#D4" target="_self">Def4</a></i>;<br/><b>hence </b><a NAME="E6:44_1"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T23" target="_self">Th23</a></i>;<br/><b>thus </b><a NAME="E7:44_1"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E5:44_1"><i><font color="Green">E30</font></i></a>, <a class="ref" href="afvect0.html#T23" target="_self">Th23</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="44_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:44_2"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 ;<br/><a NAME="E2:44_2"/><b>then </b>
(  <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T23" target="_self">Th23</a></i>;<br/><a NAME="E3:44_2"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font></span>)</span>,<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="afvect0.html#D4" target="_self">Def4</a>, <a class="ref" href="afvect0.html#T43" target="_self">Th43</a></i>;<br/><a NAME="E4:44_2"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p2">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="ref" href="afvect0.html#T44" target="_self">Th44</a></i>;<br/><b>hence </b><a NAME="E5:44_2"/>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span>
 <b>by </b><i><a class="ref" href="afvect0.html#T36" target="_self">Th36</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:44"/>
(  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>3</sub></font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>4</sub></font></span>)</span> iff ( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">c<sub>3</sub></font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> ) )
 <b>by </b><i><a class="txt" href="afvect0.html#E1:44"><i><font color="Green">E29</font></i></a></i>;<br/>


</div>
