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<div><span class="kw">theorem </span><a NAME="T23"><span class="comment"><font color="firebrick">:: GROUPP_1:23</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">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="b2">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="b3">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b2">G</font>  st <font color="Olive" title="b2">G</font> is <font color="Olive" title="b1">p</font> <a href="group_10.html#V2" title="GROUP_10:attr.2">-group</a>  holds <br/> <a href="groupp_1.html#K2" title="GROUPP_1:func.2">expon</a> (<font color="Olive" title="b3">H</font>,<font color="Olive" title="b1">p</font>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="groupp_1.html#K2" title="GROUPP_1:func.2">expon</a> (<font color="Olive" title="b2">G</font>,<font color="Olive" title="b1">p</font>)</div></div>
