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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">b'</font>, <font color="Maroon" title="c5">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="E1:12"/><i><font color="Green" title="E12">A1</font></i>: 
( <font color="Maroon" title="c2">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">c</font> &amp; <font color="Maroon" title="c3">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <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="c5">c</font> &amp; <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="c5">c</font> )
 ;<br/>

<a NAME="E2:12"/><b>then </b>
( <font color="Maroon" title="c3">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp; <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="c5">c</font> &amp; <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="c5">c</font> )
 
<b>by </b><i><a class="txt" href="afvect01.html#E1"><i><font color="Green" title="E1">Lm1</font></i></a></i>;<br/>
<a NAME="E3:12"/><b>then </b>
( <font color="Maroon" title="c3">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp;  <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="c5">c</font> &amp;  <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="c5">c</font> )
 
<b>by </b><i><a class="ref" href="afvect0.html#D3" title="AFVECT0:def.3">AFVECT0:def 3</a></i>;<br/>
<a NAME="E4:12"/><b>then </b>
( <font color="Maroon" title="c3">b</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font> &amp;  <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> )
 
<b>by </b><i><a class="ref" href="afvect0.html#T25" title="AFVECT0:th.25">AFVECT0:25</a></i>;<br/>
<a NAME="E5:12"/><b>then </b>
<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="ref" href="afvect0.html#D2" title="AFVECT0:def.2">AFVECT0:def 2</a></i>;<br/>
<b>then consider </b><font color="Maroon" title="c6">p</font>, <font color="Maroon" title="c7">p'</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font><b> such that </b><br/><a NAME="E7:12"/><i><font color="Green" title="E13">A2</font></i>: 
( <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="c6">p</font>,<font color="Maroon" title="c7">p'</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> &amp; <font color="Maroon" title="c3">b</font>,<font color="Maroon" title="c7">p'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Maroon" title="c7">p'</font>,<font color="Maroon" title="c4">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/>
<a NAME="E8:12"/>
( <font color="Maroon" title="c6">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c7">p'</font> implies  ex <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">p'</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font> st <br/>( <font color="Olive" title="b1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">p'</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="Olive" title="b1">p</font>,<font color="Olive" title="b2">p'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Olive" title="b1">p</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Olive" title="b1">p</font>,<font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Olive" title="b2">p'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Olive" title="b2">p'</font>,<font color="Maroon" title="c4">b'</font> ) )
 
<b>by </b><i><a class="txt" href="afvect01.html#E7:12"><i><font color="Green" title="E13">A2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E9:12"/>
 ex <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">p'</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font> st <br/>( <font color="Olive" title="b1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">p'</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="Olive" title="b1">p</font>,<font color="Olive" title="b2">p'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Olive" title="b1">p</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Olive" title="b1">p</font>,<font color="Maroon" title="c4">b'</font> &amp; <font color="Maroon" title="c3">b</font>,<font color="Olive" title="b2">p'</font> <a href="diraf.html#R2" title="DIRAF:pred.2">'||'</a> <font color="Olive" title="b2">p'</font>,<font color="Maroon" title="c4">b'</font> )
 <b>by </b><i><a class="txt" href="afvect01.html#E1:12"><i><font color="Green" title="E12">A1</font></i></a>, <a class="txt" href="afvect01.html#E7:12"><i><font color="Green" title="E13">A2</font></i></a>, <a class="txt" href="afvect01.html#E5"><i><font color="Green" title="E5">Lm5</font></i></a></i>;<br/>


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