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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E157">ThB18</font></span>: <a NAME="T219"><span class="comment"><font color="firebrick">:: GROUP_1A:219</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b2">a</font>, <font color="Olive" title="b3">b</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b2">a</font> <a href="group_1a.html#K25" title="GROUP_1A:func.25">*</a> <font color="Olive" title="b3">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font> holds <br/><font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="group_1a.html#K1" title="GROUP_1A:func.1">0_</a> <font color="Olive" title="b1">G</font></div></div>
