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

<b>let </b><font color="Maroon" title="c1">AFV</font> be   <a href="afvect0.html#NM1" title="AFVECT0:NM.1">WeakAffVect</a>;<br/><b>let </b><font color="Maroon" title="c2">a</font>, <font color="Maroon" title="c3">b</font>, <font color="Maroon" title="c4">c</font>, <font color="Maroon" title="c5">d</font>, <font color="Maroon" title="c6">p</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font>;<br/>











<div><i><font color="Green" title="E26">A1</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="39_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:39_1"/><i><font color="Green" title="E27">A2</font></i>: 
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>
 ;<br/><a NAME="E2:39_1"/>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T4" target="_self" title="AFVECT0:th.4">Th4</a>, <a class="ref" href="afvect0.html#T39" target="_self" title="AFVECT0:th.39">Th39</a></i>;<br/><a NAME="E3:39_1"/><b>then </b><i><font color="Green" title="E28">A3</font></i>: 
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E1:39_1"><i><font color="Green" title="E27">A2</font></i></a>, <a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/><a NAME="E4:39_1"/>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T4" target="_self" title="AFVECT0:th.4">Th4</a>, <a class="ref" href="afvect0.html#T39" target="_self" title="AFVECT0:th.39">Th39</a></i>;<br/><a NAME="E5:39_1"/><b>then </b>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E3:39_1"><i><font color="Green" title="E28">A3</font></i></a>, <a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/><b>hence </b><a NAME="E6:39_1"/>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T8" target="_self" title="AFVECT0:th.8">Th8</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="39_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:39_2"/><i><font color="Green" title="E27">A4</font></i>: 
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>
 ;<br/><a NAME="E2:39_2"/><i><font color="Green" title="E28">A5</font></i>: 
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font> &amp; <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T39" target="_self" title="AFVECT0:th.39">Th39</a></i>;<br/><a NAME="E3:39_2"/>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T39" target="_self" title="AFVECT0:th.39">Th39</a></i>;<br/><a NAME="E4:39_2"/><b>then </b>
<font color="Maroon" title="c5">d</font>,<font color="Maroon" title="c4">c</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E1:39_2"><i><font color="Green" title="E27">A4</font></i></a>, <a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/><a NAME="E5:39_2"/><b>then </b>
<font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T8" target="_self" title="AFVECT0:th.8">Th8</a></i>;<br/><b>hence </b><a NAME="E6:39_2"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E2:39_2"><i><font color="Green" title="E28">A5</font></i></a>, <a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:39"/>
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">c</font>,<font color="Maroon" title="c5">d</font> iff  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c3">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c4">c</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c6">p</font>,<font color="Maroon" title="c5">d</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E1:39"><i><font color="Green" title="E26">A1</font></i></a></i>;<br/>


</div>
