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<div><span class="kw">theorem </span><a NAME="T38"><span class="comment"><font color="firebrick">:: GROUP_2:38</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_1.html#V2" title="GROUP_1:attr.2">Group-like</a>   <a href="algstr_0.html#L3" title="ALGSTR_0:struct.3">multMagma</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="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a> holds <br/><font color="Olive" title="b2">g</font> <a href="group_2.html#K4" title="GROUP_2:func.4">*</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_2.html#K5" title="GROUP_2:func.5">*</a> <font color="Olive" title="b2">g</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_2.html#T25" target="_self" onmouseover="rs('group_2/T25')" onmouseout="rh()">Th25</a></span>;<br/></div></div>
