<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E192">Th67</font></span>: <a NAME="T268"><span class="comment"><font color="firebrick">:: GROUP_1A:268</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> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font> holds  <span class="p1">(<span class="default"><a href="group_1a.html#K11" title="GROUP_1A:func.11">(0).</a> <font color="Olive" title="b1">G</font></span>)</span> <a href="group_1a.html#K29" title="GROUP_1A:func.29">*</a> <font color="Olive" title="b2">a</font> <a href="group_1a.html#R1" title="GROUP_1A:pred.1">=</a>  <a href="group_1a.html#K11" title="GROUP_1A:func.11">(0).</a> <font color="Olive" title="b1">G</font></div></div>
