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<b>let </b><font color="Maroon">AFV</font> be   <a href="afvect0.html#NM1">WeakAffVect</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>let </b><font color="Maroon">c</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/>









<div><i><font color="Green">E22</font></i>: <a class="txt" onclick="hs2(this)" href="javascript:()" title="41_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:41_1"/>
 <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font>
 ;<br/><a NAME="E2:41_1"/><b>then </b>
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D1" target="_self">Def1</a></i>;<br/><a NAME="E3:41_1"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">c</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E4:41_1"/>
 <a href="afvect0.html#R2" target="_self">Mid</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">c</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="41_2"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:41_2"/>
 <a href="afvect0.html#R2" target="_self">Mid</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">c</font>
 ;<br/><a NAME="E2:41_2"/><b>then </b>
 <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">c</font>
 <b>by </b><i><a class="ref" href="afvect0.html#D1" target="_self">Def1</a></i>;<br/><a NAME="E3:41_2"/><b>then </b>
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b</font>,<font color="Maroon">c</font>
 <b>by </b><i/>;<br/><b>hence </b><a NAME="E4:41_2"/>
 <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</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="E3:41"/>
(  <a href="afvect0.html#R2" target="_self">Mid</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>,<font color="Maroon">c</font> iff  <a href="afvect0.html#R2" target="_self">Mid</a>  <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">a</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">b</font>, <a href="afvect0.html#K1" target="_self">PSym</a> <font color="Maroon">p</font>,<font color="Maroon">c</font> )
 <b>by </b><i/>;<br/>


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