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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>consider </b><font color="Maroon" title="c2">p</font>, <font color="Maroon" title="c3">q</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="E2:17"/><i><font color="Green" title="E10">A1</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1"><b>now </b></a><div class="add"><b>consider </b><font color="Maroon" title="c4">r</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="E2:17_1"/><i><font color="Green" title="E11">A2</font></i>: 
<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c4">r</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c3">q</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/><div><i><font color="Green" title="E12">A3</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_1_1"/><i><font color="Green" title="E13">A4</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">r</font>
 ;<br/><a NAME="E2:17_1_1"/><b>then </b>
<font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E2:17_1"><i><font color="Green" title="E11">A2</font></i></a>, <a class="ref" href="afvect0.html#T4" target="_self" title="AFVECT0:th.4">Th4</a></i>;<br/><b>hence </b><a NAME="E3:17_1_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</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">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> &amp; not  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E2:17"><i><font color="Green" title="E10">A1</font></i></a>, <a class="txt" href="afvect0.html#E1:17_1_1"><i><font color="Green" title="E13">A4</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><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_1_2"/><i><font color="Green" title="E13">A5</font></i>: 
<font color="Maroon" title="c2">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">r</font>
 ;<br/><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="17_1_2_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:17_1_2_1"/><i><font color="Green" title="E14">A6</font></i>: 
 <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c4">r</font>
 ;<br/><a NAME="E2:17_1_2_1"/>
<font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c3">q</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c4">r</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E2:17_1"><i><font color="Green" title="E11">A2</font></i></a>, <a class="ref" href="afvect0.html#T4" target="_self" title="AFVECT0:th.4">Th4</a></i>;<br/><a NAME="E3:17_1_2_1"/><b>then </b><i><font color="Green" title="E15">A7</font></i>: 
<font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">r</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T8" target="_self" title="AFVECT0:th.8">Th8</a></i>;<br/><a NAME="E4:17_1_2_1"/>
<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c4">r</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c2">p</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E1:17_1_2_1"><i><font color="Green" title="E14">A6</font></i></a>, <a class="ref" href="afvect0.html#D2" target="_self" title="AFVECT0:def.2">Def2</a></i>;<br/><a NAME="E5:17_1_2_1"/><b>then </b>
<font color="Maroon" title="c2">p</font>,<font color="Maroon" title="c4">r</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c3">q</font>,<font color="Maroon" title="c4">r</font>
 <b>by </b><i><a class="txt" href="afvect0.html#E3:17_1_2_1"><i><font color="Green" title="E15">A7</font></i></a>, <a class="ref" href="afvect0.html#D1" target="_self" title="AFVECT0:def.1">Def1</a></i>;<br/><a NAME="E6:17_1_2_1"/><b>then </b>
<font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c2">p</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c4">r</font>,<font color="Maroon" title="c3">q</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="E7:17_1_2_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</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">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> &amp; not  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E2:17"><i><font color="Green" title="E10">A1</font></i></a>, <a class="ref" href="afvect0.html#T5" target="_self" title="AFVECT0:th.5">Th5</a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:17_1_2"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</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">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> &amp; not  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E1:17_1_2"><i><font color="Green" title="E13">A5</font></i></a></i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E5:17_1"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</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">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> &amp; not  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> )
 <b>by </b><i><a class="txt" href="afvect0.html#E3:17_1"><i><font color="Green" title="E12">A3</font></i></a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:17"/>
 ex <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</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">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b</font> &amp; not  <a href="afvect0.html#R1" title="AFVECT0:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> )
 ;<br/>


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