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<b>let </b><font color="Maroon">AFV</font> be   <a href="afvect01.html#NM1">WeakAffSegm</a>;<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/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/>





<b>assume </b><a NAME="E1:32"/>
 <a href="afvect01.html#R1" target="_self">MDist</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 ;<br/>

<b>then consider </b><font color="Maroon">p</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>, <font color="Maroon">p'</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font><b> such that </b><br/><a NAME="E3:32"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">p'</font>
 <b>and </b><br/><a NAME="E4:32"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p</font>,<font color="Maroon">p'</font>
 <b>and </b><br/><a NAME="E5:32"/>
<font color="Maroon">a</font>,<font color="Maroon">p</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>
 <b>and </b><br/><a NAME="E6:32"/>
<font color="Maroon">a</font>,<font color="Maroon">p'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p'</font>,<font color="Maroon">b</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E1"><i><font color="Green">Lemma25</font></i></a></i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:32_1"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 ;<br/><a NAME="E2:32_1"/><b>then </b>
<font color="Maroon">p</font>,<font color="Maroon">p'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a</font>,<font color="Maroon">a</font>
 <b>by </b><i><a class="txt" href="afvect01.html#E2"><i><font color="Green">Lemma27</font></i></a>, </i>;<br/><b>hence </b><a NAME="E3:32_1"/>
contradiction
 <b>by </b><i><a class="txt" href="afvect01.html#E3:32"><i><font color="Green">E26</font></i></a>, </i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E8:32"/>
<font color="Maroon">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">b</font>
 ;<br/>


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