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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">o</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="afvect0.html#K5" target="_self">GroupVect</a> <font color="Maroon">AFV</font>,<font color="Maroon">o</font></span>)</span>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="afvect0.html#K5" target="_self">GroupVect</a> <font color="Maroon">AFV</font>,<font color="Maroon">o</font></span>)</span>;<br/><b>let </b><font color="Maroon">c</font> be   <a href="struct_0.html#NM1">Element</a> of <span class="p1">(<span class="default"><a href="afvect0.html#K5" target="_self">GroupVect</a> <font color="Maroon">AFV</font>,<font color="Maroon">o</font></span>)</span>;<br/>









<b>reconsider </b><font color="Maroon">a'</font> = <font color="Maroon">a</font>, <font color="Maroon">b'</font> = <font color="Maroon">b</font>, <font color="Maroon">c'</font> = <font color="Maroon">c</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> ;<br/>
<b>set </b><font color="Maroon">p</font> = <font color="Maroon">b</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font>;<br/>
<b>set </b><font color="Maroon">q</font> = <font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">b</font>;<br/>
<b>reconsider </b><font color="Maroon">p'</font> = <font color="Maroon">b</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font>, <font color="Maroon">q'</font> = <font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">b</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> ;<br/>
<b>reconsider </b><font color="Maroon">x'</font> = <font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font></span>)</span>, <font color="Maroon">y'</font> = <span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">b</font></span>)</span> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font> ;<br/>
<font color="Maroon">p'</font> = 
<span class="p1">(<span class="default"><a href="afvect0.html#K3" target="_self">Padd</a> <font color="Maroon">o</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">b'</font>,<font color="Maroon">c'</font>

<br/>.= 
 <a href="afvect0.html#K2" target="_self">Padd</a> <font color="Maroon">o</font>,<font color="Maroon">b'</font>,<font color="Maroon">c'</font>
<b>by </b><i><a class="ref" href="afvect0.html#T5" target="_self">Th5</a></i>
;<br/>
<a NAME="E5:56"/><b>then </b><i><font color="Green">E22</font></i>: 
<font color="Maroon">o</font>,<font color="Maroon">b'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">p'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T2" target="_self">Th2</a></i>;<br/>
<font color="Maroon">q'</font> = 
<span class="p1">(<span class="default"><a href="afvect0.html#K3" target="_self">Padd</a> <font color="Maroon">o</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">a'</font>,<font color="Maroon">b'</font>

<br/>.= 
 <a href="afvect0.html#K2" target="_self">Padd</a> <font color="Maroon">o</font>,<font color="Maroon">a'</font>,<font color="Maroon">b'</font>
<b>by </b><i><a class="ref" href="afvect0.html#T5" target="_self">Th5</a></i>
;<br/>
<a NAME="E7:56"/><b>then </b>
<font color="Maroon">o</font>,<font color="Maroon">a'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">b'</font>,<font color="Maroon">q'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E8:56"/><b>then </b>
<font color="Maroon">o</font>,<font color="Maroon">b'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">a'</font>,<font color="Maroon">q'</font>
 
<b>by </b><i/>;<br/>
<a NAME="E9:56"/><b>then </b><i><font color="Green">E36</font></i>: 
<font color="Maroon">a'</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">b'</font>
 
<b>by </b><i/>;<br/>
<a NAME="E10:56"/>
<font color="Maroon">c'</font>,<font color="Maroon">p'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">b'</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E9:56"><i><font color="Green">E36</font></i></a>, </i>;<br/>
<a NAME="E11:56"/><b>then </b><i><font color="Green">E38</font></i>: 
<font color="Maroon">a'</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">p'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T13" target="_self">Th13</a>, </i>;<br/>
<b>consider </b><font color="Maroon">x''</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">AFV</font><b> such that </b><br/><a NAME="E13:56"/><i><font color="Green">E40</font></i>: 
<font color="Maroon">x'</font>,<font color="Maroon">p'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">x''</font>
 <b>by </b><i/>;<br/>
<a NAME="E14:56"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">c'</font>,<font color="Maroon">x''</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x'</font>,<font color="Maroon">p'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#D2" target="_self">Def2</a>, </i>;<br/>
<font color="Maroon">x'</font> = 
<span class="p1">(<span class="default"><a href="afvect0.html#K3" target="_self">Padd</a> <font color="Maroon">o</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">a'</font>,<font color="Maroon">p'</font>

<br/>.= 
 <a href="afvect0.html#K2" target="_self">Padd</a> <font color="Maroon">o</font>,<font color="Maroon">a'</font>,<font color="Maroon">p'</font>
<b>by </b><i><a class="ref" href="afvect0.html#T5" target="_self">Th5</a></i>
;<br/>
<a NAME="E16:56"/><b>then </b>
<font color="Maroon">o</font>,<font color="Maroon">a'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p'</font>,<font color="Maroon">x'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E17:56"/><b>then </b>
<font color="Maroon">a'</font>,<font color="Maroon">o</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x'</font>,<font color="Maroon">p'</font>
 
<b>by </b><i/>;<br/>
<a NAME="E18:56"/><b>then </b>
<font color="Maroon">a'</font>,<font color="Maroon">o</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">x''</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E13:56"><i><font color="Green">E40</font></i></a>, </i>;<br/>
<a NAME="E19:56"/><b>then </b><i><font color="Green">E42</font></i>: 
<font color="Maroon">q'</font>,<font color="Maroon">o</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p'</font>,<font color="Maroon">x''</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E11:56"><i><font color="Green">E38</font></i></a>, </i>;<br/>
<a NAME="E20:56"/>
<font color="Maroon">x'</font>,<font color="Maroon">c'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">p'</font>,<font color="Maroon">x''</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#D2" target="_self">Def2</a>, </i>;<br/>
<a NAME="E21:56"/><b>then </b>
<font color="Maroon">q'</font>,<font color="Maroon">o</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">x'</font>,<font color="Maroon">c'</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E14:56"><i><font color="Green">E41</font></i></a>, </i>;<br/>
<a NAME="E22:56"/><b>then </b>
<font color="Maroon">o</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">x'</font>
 
<b>by </b><i/>;<br/>
<a NAME="E23:56"/><b>then </b><i><font color="Green">E43</font></i>: 
<font color="Maroon">c'</font>,<font color="Maroon">x'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">q'</font>
 
<b>by </b><i/>;<br/>
<font color="Maroon">y'</font> = 
<span class="p1">(<span class="default"><a href="afvect0.html#K3" target="_self">Padd</a> <font color="Maroon">o</font></span>)</span> <a href="binop_1.html#K2">.</a> <font color="Maroon">q'</font>,<font color="Maroon">c'</font>

<br/>.= 
 <a href="afvect0.html#K2" target="_self">Padd</a> <font color="Maroon">o</font>,<font color="Maroon">q'</font>,<font color="Maroon">c'</font>
<b>by </b><i><a class="ref" href="afvect0.html#T5" target="_self">Th5</a></i>
;<br/>
<a NAME="E25:56"/><b>then </b>
<font color="Maroon">o</font>,<font color="Maroon">q'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">y'</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T2" target="_self">Th2</a></i>;<br/>
<a NAME="E26:56"/><b>then </b>
<font color="Maroon">c'</font>,<font color="Maroon">y'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">o</font>,<font color="Maroon">q'</font>
 
<b>by </b><i/>;<br/>
<a NAME="E27:56"/><b>then </b>
<font color="Maroon">c'</font>,<font color="Maroon">y'</font> <a href="analoaf.html#R2">//</a> <font color="Maroon">c'</font>,<font color="Maroon">x'</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E19:56"><i><font color="Green">E42</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E28:56"/>
<span class="p1">(<span class="default"><font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">b</font></span>)</span> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="rlvect_1.html#K2">+</a> <span class="p1">(<span class="default"><font color="Maroon">b</font> <a href="rlvect_1.html#K2">+</a> <font color="Maroon">c</font></span>)</span>
 <b>by </b><i/>;<br/>


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