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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: GROUP_1:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being   <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</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">A</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b3">b</font></span>)</span> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">a</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">b</font> <a href="group_1.html#K2" title="GROUP_1:func.2">"</a></span>)</span> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1.html#T17" target="_self" onmouseover="rs('group_1/T17')" onmouseout="rh()">Th16</a></span>;<br/></div></div>
