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<b>let </b><font color="Maroon" title="c6">AFV</font> be   <a href="afvect01.html#NM1" title="AFVECT01:NM.1">WeakAffSegm</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <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="c6">AFV</font>  st  <a href="afvect01.html#R1" title="AFVECT01:pred.1">MDist</a> <font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font> holds <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></span><br/><b>let </b><font color="Maroon" title="c7">a</font>, <font color="Maroon" title="c8">b</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c6">AFV</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="afvect01.html#R1" title="AFVECT01:pred.1">MDist</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font> implies <font color="Maroon" title="c7">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b</font> )</span><br/>





<b>assume </b><a NAME="E1:32"/>
 <a href="afvect01.html#R1" title="AFVECT01:pred.1">MDist</a> <font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c7">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b</font></span><br/>

<b>then consider </b><font color="Maroon" title="c9">p</font>, <font color="Maroon" title="c10">p'</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c6">AFV</font><b> such that </b><br/><a NAME="E3:32"/><i><font color="Green" title="E26">A1</font></i>: 
<font color="Maroon" title="c9">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c10">p'</font>
 <b>and </b><br/><a NAME="E4:32"/><i><font color="Green" title="E27">A2</font></i>: 
<font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c8">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c10">p'</font>
 <b>and </b><br/><a NAME="E5:32"/>
<font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c9">p</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c9">p</font>,<font color="Maroon" title="c8">b</font>
 <b>and </b><br/><a NAME="E6:32"/>
<font color="Maroon" title="c7">a</font>,<font color="Maroon" title="c10">p'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c10">p'</font>,<font color="Maroon" title="c8">b</font>
 <b>by </b><i><a class="ref" href="afvect01.html#D4" target="_self" title="AFVECT01:def.4">Def4</a></i>;<br/>
<b>thus </b><a NAME="E7:32"/>
<font color="Maroon" title="c7">a</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c8">b</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E3:32"><i><font color="Green" title="E26">A1</font></i></a>, <a class="txt" href="afvect01.html#E4:32"><i><font color="Green" title="E27">A2</font></i></a>, <a class="ref" href="afvect01.html#T2" target="_self" title="AFVECT01:th.2">Th2</a>, <a class="ref" href="afvect01.html#T6" target="_self" title="AFVECT01:th.6">Th6</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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