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<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: AFVECT0:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AFV</font> being   <a href="afvect0.html#NM1" title="AFVECT0:NM.1">WeakAffVect</a><br/>  for <font color="Olive" title="b2">o</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AFV</font><br/>  for <font color="Olive" title="b3">a</font>, <font color="Olive" title="b4">b</font> being   <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="Olive" title="b1">AFV</font>,<font color="Olive" title="b2">o</font>)</span>)</span><br/>  for <font color="Olive" title="b5">a9</font>, <font color="Olive" title="b6">b9</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">AFV</font>  st <font color="Olive" title="b3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">a9</font> &amp; <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">b9</font> holds <br/><font color="Olive" title="b3">a</font> <a href="algstr_0.html#K1" title="ALGSTR_0:func.1">+</a> <font color="Olive" title="b4">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="afvect0.html#K3" title="AFVECT0:func.3">Padd</a> <font color="Olive" title="b2">o</font></span>)</span> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b5">a9</font>,<font color="Olive" title="b6">b9</font>) ;<br/></div></div>
