<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T228"><span class="comment"><font color="firebrick">:: GROUP_1A:228</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><br/>  for <font color="Olive" title="b4">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds  <span class="p1">(<span class="default"><font color="Olive" title="b4">n</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <font color="Olive" title="b2">a</font></span>)</span> <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> <font color="Olive" title="b4">n</font> <a href="group_1a.html#K5" title="GROUP_1A:func.5">*</a> <span class="p1">(<span class="default"><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></span>)</span> <span class="kw">by</span> <span class="lab"><a class="txt" href="group_1a.html#E278"><span class="lab"><font color="Green" title="E167">Lm4</font></span></a></span>;<br/></div></div>
