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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">p</font>, <font color="Maroon" title="c4">b</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>consider </b><font color="Maroon" title="c5">c</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="E2:47"/><i><font color="Green" title="E30">A1</font></i>: 
 <a href="afvect0.html#R2" title="AFVECT0:pred.2">Mid</a> <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c4">b</font>
 <b>by </b><i><a class="ref" href="afvect0.html#T24" target="_self" title="AFVECT0:th.24">Th24</a></i>;<br/>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c3">p</font> = 
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c2">a</font></span>)</span>,<font color="Maroon" title="c3">p</font>
<b>by </b><i><a class="txt" href="afvect0.html#E2:47"><i><font color="Green" title="E30">A1</font></i></a>, <a class="ref" href="afvect0.html#D4" target="_self" title="AFVECT0:def.4">Def4</a></i>
<br/>.= 
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c5">c</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c2">a</font>,<span class="p2">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c3">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="afvect0.html#T44" target="_self" title="AFVECT0:th.44">Th44</a></i>
;<br/>
<a NAME="E4:47"/><b>then </b>
 <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c5">c</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c3">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c5">c</font>,<font color="Maroon" title="c3">p</font></span>)</span>
 
<b>by </b><i><a class="ref" href="afvect0.html#T36" target="_self" title="AFVECT0:th.36">Th36</a></i>;<br/>
<b>hence </b><a NAME="E5:47"/>
 ex <font color="Olive" title="b1">c</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font> st  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c2">a</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Olive" title="b1">c</font>,<font color="Maroon" title="c3">p</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Olive" title="b1">c</font>,<span class="p1">(<span class="default"><a href="afvect0.html#K1" title="AFVECT0:func.1">PSym</a> <font color="Maroon" title="c4">b</font>,<font color="Maroon" title="c3">p</font></span>)</span>
 ;<br/>


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