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<div><span class="kw">theorem </span><a NAME="T194"><span class="comment"><font color="firebrick">:: GROUP_1A:194</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_1a.html#NM1" title="GROUP_1A:NM.1">addGroup</a><br/>  for <font color="Olive" title="b2">H</font> being    <a href="group_1a.html#M1" title="GROUP_1A:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> holds   <a href="struct_0.html#K7" title="STRUCT_0:func.7">card</a> <font color="Olive" title="b2">H</font> <a href="int_1.html#R1" title="INT_1:pred.1">divides</a>  <a href="struct_0.html#K7" title="STRUCT_0:func.7">card</a> <font color="Olive" title="b1">G</font></div></div>
