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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E69">Th37</font></span>: <a NAME="T83"><span class="comment"><font color="firebrick">:: GROUP_1A:83</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">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font> holds <br/> ( <span class="p1">(<span class="default"><a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="group_1a.html#K9" title="GROUP_1A:func.9">+</a> <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> &amp; <font color="Olive" title="b2">A</font> <a href="group_1a.html#K10" title="GROUP_1A:func.10">+</a> <span class="p1">(<span class="default"><a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> )</div></div>
