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

<b>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">q</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font><b> such that </b><br/><a NAME="E2:17"/><i><font color="Green">E22</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">q</font>
 <b>by </b><i><a class="ref" href="realset2.html#D7">REALSET2:def 7</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">r</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font><b> such that </b><br/><a NAME="E2:17_1"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">r</font>,<font color="Maroon">q</font>
 <b>by </b><i/>;<br/><div><i><font color="Green">E38</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">E40</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#R1">=</a> <font color="Maroon">r</font>
 ;<br/><a NAME="E2:17_1_1"/><b>then </b>
<font color="Maroon">r</font>,<font color="Maroon">q</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p</font>,<font color="Maroon">p</font>
 <b>by </b><i>, </i>;<br/><b>hence </b><a NAME="E3:17_1_1"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> st <br/>( <font color="Olive">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b</font> &amp; not  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Olive">a</font>,<font color="Olive">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#D1" target="_self">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">E41</font></i>: 
<font color="Maroon">p</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">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">E42</font></i>: 
 <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Maroon">p</font>,<font color="Maroon">r</font>
 ;<br/><a NAME="E2:17_1_2_1"/>
<font color="Maroon">r</font>,<font color="Maroon">q</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p</font>,<font color="Maroon">r</font>
 <b>by </b><i>, </i>;<br/><a NAME="E3:17_1_2_1"/><b>then </b><i><font color="Green">E43</font></i>: 
<font color="Maroon">q</font>,<font color="Maroon">r</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">r</font>,<font color="Maroon">p</font>
 <b>by </b><i/>;<br/><a NAME="E4:17_1_2_1"/>
<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">r</font>,<font color="Maroon">p</font>
 <b>by </b><i>, </i>;<br/><a NAME="E5:17_1_2_1"/><b>then </b>
<font color="Maroon">p</font>,<font color="Maroon">r</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">q</font>,<font color="Maroon">r</font>
 <b>by </b><i>, </i>;<br/><a NAME="E6:17_1_2_1"/><b>then </b>
<font color="Maroon">r</font>,<font color="Maroon">p</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">r</font>,<font color="Maroon">q</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E7:17_1_2_1"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> st <br/>( <font color="Olive">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b</font> &amp; not  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Olive">a</font>,<font color="Olive">b</font> )
 <b>by </b><i><a class="ref" href="afvect0.html#D1" target="_self">Def1</a>, </i>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E3:17_1_2"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> st <br/>( <font color="Olive">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b</font> &amp; not  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Olive">a</font>,<font color="Olive">b</font> )
 <b>by </b><i/>;<br/></div><b>end;</b></div><b>hence </b><a NAME="E5:17_1"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> st <br/>( <font color="Olive">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b</font> &amp; not  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Olive">a</font>,<font color="Olive">b</font> )
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:17"/>
 ex <font color="Olive">a</font>, <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> st <br/>( <font color="Olive">a</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Olive">b</font> &amp; not  <a href="afvect0.html#R1" target="_self">MDist</a> <font color="Olive">a</font>,<font color="Olive">b</font> )
 ;<br/>


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