<?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">b'</font>, <font color="Maroon" title="c5">p</font>, <font color="Maroon" title="c6">p'</font>, <font color="Maroon" title="c7">c</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font>;<br/>













<b>assume </b><a NAME="E1:11"/><i><font color="Green" title="E11">A1</font></i>: 
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c7">c</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c5">p</font>,<font color="Maroon" title="c6">p'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c5">p</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c5">p</font>,<font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c6">p'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c6">p'</font>,<font color="Maroon" title="c4">b'</font> )
 ;<br/>

<a NAME="E2:11"/><b>then </b><i><font color="Green" title="E12">A2</font></i>: 
( <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c7">c</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c3">b</font> )
 
<b>by </b><i><a class="txt" href="afvect01.html#E2"><i><font color="Green" title="E2">Lm2</font></i></a></i>;<br/>
<div><i><font color="Green" title="E13">A3</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="11_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:11_1"/><i><font color="Green" title="E14">A4</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="c3">b</font>,<font color="Maroon" title="c7">c</font>
 ;<br/><a NAME="E2:11_1"/><b>then </b><i><font color="Green" title="E15">A5</font></i>: 
 <a href="afvect0.html#R2" title="AFVECT0:pred.2">Mid</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D3" title="AFVECT0:def.3">AFVECT0:def 3</a></i>;<br/><div><i><font color="Green" title="E16">A6</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="11_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:11_1_1"/>
 <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c4">b'</font>
 ;<br/><a NAME="E2:11_1_1"/><b>then </b>
 <a href="afvect0.html#R2" title="AFVECT0:pred.2">Mid</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E2:11_1"><i><font color="Green" title="E15">A5</font></i></a>, <a class="ref" href="afvect0.html#T28" title="AFVECT0:th.28">AFVECT0:28</a></i>;<br/><a NAME="E3:11_1_1"/><b>then </b>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D3" title="AFVECT0:def.3">AFVECT0:def 3</a></i>;<br/><b>hence </b><a NAME="E4:11_1_1"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="diraf.html#D4" title="DIRAF:def.4">DIRAF:def 4</a></i>;<br/></div><b>end;</b></div><a NAME="E4:11_1"/>
( <font color="Maroon" title="c3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">b'</font> implies <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font> )
 <b>by </b><i><a class="txt" href="afvect01.html#E1:11_1"><i><font color="Green" title="E14">A4</font></i></a>, <a class="ref" href="diraf.html#D4" title="DIRAF:def.4">DIRAF:def 4</a></i>;<br/><b>hence </b><a NAME="E5:11_1"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E2:11"><i><font color="Green" title="E12">A2</font></i></a>, <a class="txt" href="afvect01.html#E3:11_1"><i><font color="Green" title="E16">A6</font></i></a>, <a class="ref" href="afvect0.html#D2" title="AFVECT0:def.2">AFVECT0:def 2</a></i>;<br/></div><b>end;</b></div>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="11_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:11_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="c7">c</font>,<font color="Maroon" title="c3">b</font>
 ;<br/><a NAME="E2:11_2"/><b>then </b>
<font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c2">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T8" title="AFVECT0:th.8">AFVECT0:8</a></i>;<br/><a NAME="E3:11_2"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T5" title="AFVECT0:th.5">AFVECT0:5</a></i>;<br/><a NAME="E4:11_2"/><b>then </b>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c7">c</font>,<font color="Maroon" title="c4">b'</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T2" title="AFVECT0:th.2">AFVECT0:2</a></i>;<br/><b>hence </b><a NAME="E5:11_2"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="ref" href="diraf.html#D4" title="DIRAF:def.4">DIRAF:def 4</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:11"/>
<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c4">b'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c4">b'</font>,<font color="Maroon" title="c7">c</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E1:11"><i><font color="Green" title="E11">A1</font></i></a>, <a class="txt" href="afvect01.html#E3:11"><i><font color="Green" title="E13">A3</font></i></a>, <a class="ref" href="diraf.html#D4" title="DIRAF:def.4">DIRAF:def 4</a></i>;<br/>


</div>
