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<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">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="40_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:40_1"/>
 <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font>
 ;<br/><a NAME="E2:40_1"/><b>then </b>
( <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="c2">a</font> &amp; <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#D2" target="_self" title="AFVECT0:def.2">Def2</a></i>;<br/><a NAME="E3:40_1"/><b>then </b>
(  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">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="c4">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font> &amp;  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c3">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T37" target="_self" title="AFVECT0:th.37">Th37</a>, <a class="ref" href="afvect0.html#T40" target="_self" title="AFVECT0:th.40">Th40</a></i>;<br/><b>hence </b><a NAME="E4:40_1"/>
 <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c3">b</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D2" target="_self" title="AFVECT0:def.2">Def2</a></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" title="AFVECT0:pred.1">MDist</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c3">b</font>
 ;<br/><a NAME="E2:40_2"/><b>then </b>
(  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">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="c4">p</font>,<font color="Maroon" title="c3">b</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font> &amp;  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c3">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#D2" target="_self" title="AFVECT0:def.2">Def2</a></i>;<br/><a NAME="E3:40_2"/><b>then </b>
( <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="c2">a</font> &amp; <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T40" target="_self" title="AFVECT0:th.40">Th40</a></i>;<br/><b>hence </b><a NAME="E4:40_2"/>
 <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</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#D2" target="_self" title="AFVECT0:def.2">Def2</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E3:40"/>
(  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c3">b</font> iff  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c2">a</font>, <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">p</font>,<font color="Maroon" title="c3">b</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E1:40"><i><font color="Green" title="E26">A1</font></i></a></i>;<br/>


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