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<b>let </b><font color="Maroon" title="c1">AFV</font> be   <a href="tdgroup.html#NM3" title="TDGROUP:NM.3">AffVect</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">o</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">AFV</font> holds   <a href="afvect0.html#K5" title="AFVECT0:func.5">GroupVect</a> <font color="Maroon" title="c1">AFV</font>,<font color="Olive" title="b1">o</font> is   <a href="afvect0.html#NM2" title="AFVECT0:NM.2">Proper_Uniquely_Two_Divisible_Group</a></span><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>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <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> is   <a href="afvect0.html#NM2" title="AFVECT0:NM.2">Proper_Uniquely_Two_Divisible_Group</a></span><br/>



<b>consider </b><font color="Maroon" title="c3">a'</font>, <font color="Maroon" title="c4">b'</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="E2:68"/><i><font color="Green" title="E43">A1</font></i>: 
<font color="Maroon" title="c3">a'</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c4">b'</font>
 <b>by </b><i><a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>;<br/>
<b>thus </b><a NAME="E3:68"/>
 <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> is   <a href="afvect0.html#NM2" title="AFVECT0:NM.2">Proper_Uniquely_Two_Divisible_Group</a>
 <b>by </b><i><a class="txt" href="afvect0.html#E2:68"><i><font color="Green" title="E43">A1</font></i></a>, <a class="ref" href="struct_0.html#D10" title="STRUCT_0:def.10">STRUCT_0:def 10</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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