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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Th47</font></span>: <a NAME="T47"><span class="comment"><font color="firebrick">:: AFVECT0:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">AFV</font> being   <a href="tdgroup.html#NM3" title="TDGROUP:NM.3">AffVect</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> 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>  st <font color="Olive" title="b3">a</font> <a href="rlvect_1.html#K3" title="RLVECT_1:func.3">+</a> <font color="Olive" title="b3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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="Olive" title="b1">AFV</font>,<font color="Olive" title="b2">o</font>)</span>)</span> holds <br/><font color="Olive" title="b3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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="Olive" title="b1">AFV</font>,<font color="Olive" title="b2">o</font>)</span>)</span></div></div>
