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<div><span class="kw">theorem </span><a NAME="T26"><span class="comment"><font color="firebrick">:: GROUPP_1:26</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">p</font> being   <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">G</font>  st <font color="Olive" title="b1">G</font> is <font color="Olive" title="b2">p</font> <a href="group_10.html#V2" title="GROUP_10:attr.2">-group</a>  &amp;  <a href="groupp_1.html#K2" title="GROUPP_1:func.2">expon</a> (<font color="Olive" title="b1">G</font>,<font color="Olive" title="b2">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 2 &amp;  <a href="group_1.html#K6" title="GROUP_1:func.6">ord</a> <font color="Olive" title="b3">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">p</font> <a href="newton.html#K1" title="NEWTON:func.1">|^</a> 2 holds <br/><font color="Olive" title="b1">G</font> is  <a href="group_1.html#V5" title="GROUP_1:attr.5">commutative</a> </div></div>
