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







<div><i><font color="Green">E22</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">p</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span>
 ;<br/><a NAME="E2:44_1"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<span class="p2">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E1:44"><i><font color="Green">E22</font></i></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">p</font>,<font color="Maroon">q</font></span>)</span>,<font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font>
 <b>by </b><i/>;<br/><a NAME="E4:44_1"/><b>then </b>
( <font color="Maroon">q</font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><i/>;<br/><a NAME="E5:44_1"/><b>then </b><i><font color="Green">E36</font></i>: 
(  <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E6:44_1"/>
( <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>,<font color="Maroon">p</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><i/>;<br/><b>thus </b><a NAME="E7:44_1"/>
( <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#T2" target="_self">Th2</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">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 ;<br/><a NAME="E2:44_2"/><b>then </b>
(  <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">q</font>,<font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> )
 <b>by </b><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">p</font>,<font color="Maroon">q</font></span>)</span>,<font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font>
 <b>by </b><i>, </i>;<br/><a NAME="E4:44_2"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<span class="p2">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E5:44_2"/>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span>
 <b>by </b><i><a class="txt" href="afvect0.html#E1:44"><i><font color="Green">E22</font></i></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">p</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<font color="Maroon">a</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">q</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font></span>)</span> iff ( <font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> or  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">q</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">q</font> ) )
 <b>by </b><i/>;<br/>


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