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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E118">Th110</font></span>: <a NAME="T156"><span class="comment"><font color="firebrick">:: GROUP_1A:156</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 <br/> ( <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#K19" title="GROUP_1A:func.19">+</a> <font color="Olive" title="b2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">a</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> &amp; <font color="Olive" title="b2">a</font> <a href="group_1a.html#K18" title="GROUP_1A:func.18">+</a> <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="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K6" title="DOMAIN_1:func.6">{</a><span class="default"><font color="Olive" title="b2">a</font></span><a href="domain_1.html#K6" title="DOMAIN_1:func.6">}</a></span> )</div></div>
