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

<b>let </b><font color="Maroon">AFV</font> be   <a href="afvect0.html#NM1">WeakAffVect</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/>







<div><i><font color="Green">E22</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="40_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:40_1"/>
 <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/><a NAME="E2:40_1"/><b>then </b>
( <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b</font>,<font color="Maroon">a</font> &amp; <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font> )
 <b>by </b><i/>;<br/><a NAME="E3:40_1"/><b>then </b>
(  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font> &amp;  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> )
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E4:40_1"/>
 <a href="afvect0.html#R1" target="_self">MDist</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="40_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:40_2"/>
 <a href="afvect0.html#R1" target="_self">MDist</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>
 ;<br/><a NAME="E2:40_2"/><b>then </b>
(  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font> &amp;  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> )
 <b>by </b><i/>;<br/><a NAME="E3:40_2"/><b>then </b>
( <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b</font>,<font color="Maroon">a</font> &amp; <font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font> )
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E4:40_2"/>
 <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:40"/>
(  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> iff  <a href="afvect0.html#R1" target="_self">MDist</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> )
 <b>by </b><i/>;<br/>


</div>
