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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">o</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>let </b><font color="Maroon" title="c3">a</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="afvect0.html#K5" title="AFVECT0:func.5">GroupVect</a> <font color="Maroon" title="c1">AFV</font>,<font color="Maroon" title="c2">o</font></span>)</span>;<br/><b>let </b><font color="Maroon" title="c4">a'</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>assume </b><a NAME="E1:61"/><i><font color="Green" title="E40">A1</font></i>: 
<font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a'</font>
 ;<br/>

<b>reconsider </b><font color="Maroon" title="c5">aa</font> = <span class="p1">(<span class="default"><a href="afvect0.html#K4" title="AFVECT0:func.4">Pcom</a> <font color="Maroon" title="c2">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">a'</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="afvect0.html#K5" title="AFVECT0:func.5">GroupVect</a> <font color="Maroon" title="c1">AFV</font>,<font color="Maroon" title="c2">o</font></span>)</span> ;<br/>
<a NAME="E3:61"/><i><font color="Green" title="E41">A2</font></i>: 
 <a href="afvect0.html#NK3" title="AFVECT0:NK.3">Pcom</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c2">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T35" target="_self" title="AFVECT0:th.35">Th35</a></i>;<br/>
<a NAME="E4:61"/>
<font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a'</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a>  <a href="afvect0.html#NK3" title="AFVECT0:NK.3">Pcom</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a'</font>, <a href="afvect0.html#NK3" title="AFVECT0:NK.3">Pcom</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="ref" href="afvect0.html#T39" target="_self" title="AFVECT0:th.39">Th39</a></i>;<br/>
<a NAME="E5:61"/><b>then </b><i><font color="Green" title="E42">A3</font></i>: 
 <a href="afvect0.html#K2" title="AFVECT0:func.2">Padd</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a'</font>,<span class="p1">(<span class="default"><a href="afvect0.html#NK3" title="AFVECT0:NK.3">Pcom</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a'</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">o</font>
 
<b>by </b><i><a class="txt" href="afvect0.html#E3:61"><i><font color="Green" title="E41">A2</font></i></a>, <a class="ref" href="afvect0.html#D5" target="_self" title="AFVECT0:def.5">Def5</a></i>;<br/>
<font color="Maroon" title="c3">a</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Maroon" title="c5">aa</font> = 
<span class="p1">(<span class="default"><a href="afvect0.html#K3" title="AFVECT0:func.3">Padd</a> <font color="Maroon" title="c2">o</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> <font color="Maroon" title="c3">a</font>,<span class="p1">(<span class="default"><a href="afvect0.html#NK3" title="AFVECT0:NK.3">Pcom</a> <font color="Maroon" title="c2">o</font>,<font color="Maroon" title="c4">a'</font></span>)</span>
<b>by </b><i><a class="ref" href="afvect0.html#D8" target="_self" title="AFVECT0:def.8">Def8</a></i>
<br/>.= 
 <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p1">(<span class="default"><a href="afvect0.html#K5" title="AFVECT0:func.5">GroupVect</a> <font color="Maroon" title="c1">AFV</font>,<font color="Maroon" title="c2">o</font></span>)</span>
<b>by </b><i><a class="txt" href="afvect0.html#E1:61"><i><font color="Green" title="E40">A1</font></i></a>, <a class="txt" href="afvect0.html#E5:61"><i><font color="Green" title="E42">A3</font></i></a>, <a class="ref" href="afvect0.html#D7" target="_self" title="AFVECT0:def.7">Def7</a></i>
;<br/>
<b>hence </b><a NAME="E7:61"/>
 <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">-</a> <font color="Maroon" title="c3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="afvect0.html#K4" title="AFVECT0:func.4">Pcom</a> <font color="Maroon" title="c2">o</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Maroon" title="c4">a'</font>
 <b>by </b><i><a class="ref" href="rlvect_1.html#D10" title="RLVECT_1:def.10">RLVECT_1:def 10</a></i>;<br/>


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