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<div><span class="kw">theorem </span><a NAME="T72"><span class="comment"><font color="firebrick">:: GROUP_2:72</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">H</font> being    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds   <a href="group_1.html#K7" title="GROUP_1:func.7">card</a> <font color="Olive" title="b2">H</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="group_1.html#K7" title="GROUP_1:func.7">card</a> <font color="Olive" title="b1">G</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_2.html#D5" target="_self" onmouseover="rs('group_2/D5')" onmouseout="rh()">Def5</a>, <a class="ref" href="nat_1.html#T43" onmouseover="rs('nat_1/T43')" onmouseout="rh()">NAT_1:43</a></span>;<br/></div></div>
