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<div><span class="kw">theorem </span><a NAME="T117"><span class="comment"><font color="firebrick">:: GROUP_1A:117</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <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="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a>  <a href="struct_0.html#K7" title="STRUCT_0:func.7">card</a> <font color="Olive" title="b1">G</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="group_1a.html#D15" target="_self" onmouseover="rs('group_1a/D15')" onmouseout="rh()">DefA5</a>, <a class="ref" href="card_1.html#T11" onmouseover="rs('card_1/T11')" onmouseout="rh()">CARD_1:11</a></span>;<br/></div></div>
