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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E44">Th45</font></span>: <a NAME="T43"><span class="comment"><font color="firebrick">:: GROUP_22:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">A</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font>  st (  for <font color="Olive" title="b3">phi</font> being   <a href="group_22.html#NM2" title="GROUP_22:NM.2">Automorphism</a> of <font color="Olive" title="b1">G</font> holds  <font color="Olive" title="b3">phi</font> <a href="relset_1.html#K7" title="RELSET_1:func.7">.:</a> <font color="Olive" title="b2">A</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> ) holds <br/> <a href="group_4.html#K5" title="GROUP_4:func.5">gr</a> <font color="Olive" title="b2">A</font> is  <a href="group_22.html#V3" title="GROUP_22:attr.3">characteristic</a> </div></div>
