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<div><span class="kw">theorem </span><a NAME="T84"><span class="comment"><font color="firebrick">:: GROUP_1A:84</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="group_1a.html#V2" title="GROUP_1A:attr.2">addGroup-like</a>   <a href="algstr_0.html#L1" title="ALGSTR_0:struct.1">addMagma</a> <br/>  for <font color="Olive" title="b2">g</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font><br/>  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b1">G</font> is   <a href="rlvect_1.html#V2" title="RLVECT_1:attr.2">Abelian</a>  <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a> holds <br/><font color="Olive" title="b2">g</font> <a href="group_1a.html#K9" title="GROUP_1A:func.9">+</a> <font color="Olive" title="b3">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">A</font> <a href="group_1a.html#K10" title="GROUP_1A:func.10">+</a> <font color="Olive" title="b2">g</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#T71" target="_self" onmouseover="rs('group_1a/T71')" onmouseout="rh()">Th25</a></span>;<br/></div></div>
