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<div><span class="kw">theorem </span><a NAME="T51"><span class="comment"><font color="firebrick">:: MATHMORP:51</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="algstr_0.html#V13" title="ALGSTR_0:attr.13">right_complementable</a>   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>   <a href="rlvect_1.html#V3" title="RLVECT_1:attr.3">add-associative</a>   <a href="rlvect_1.html#V4" title="RLVECT_1:attr.4">right_zeroed</a>   <a href="rlvect_1.html#L1" title="RLVECT_1:struct.1">RLSStruct</a> <br/>  for <font color="Olive" title="b2">X</font>, <font color="Olive" title="b3">Y</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font> holds <br/> ( <font color="Olive" title="b2">X</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Olive" title="b3">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="mathmorp.html#NK4" title="MATHMORP:NK.4">(+)</a> <font color="Olive" title="b3">Y</font></span>)</span> <a href="mathmorp.html#K4" title="MATHMORP:func.4">(O)</a> <font color="Olive" title="b3">Y</font> &amp; <font color="Olive" title="b2">X</font> <a href="mathmorp.html#K3" title="MATHMORP:func.3">(-)</a> <font color="Olive" title="b3">Y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">X</font> <a href="mathmorp.html#K3" title="MATHMORP:func.3">(-)</a> <font color="Olive" title="b3">Y</font></span>)</span> <a href="mathmorp.html#K5" title="MATHMORP:func.5">(o)</a> <font color="Olive" title="b3">Y</font> )</div></div>
