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<div><span class="kw">theorem </span><a NAME="T319"><span class="comment"><font color="firebrick">:: GROUP_1A:319</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 <br/> ( <font color="Olive" title="b2">H</font> is   <a href="group_1a.html#V5" title="GROUP_1A:attr.5">normal</a>   <a href="group_1a.html#M1" title="GROUP_1A:mode.1">Subgroup</a> of <font color="Olive" title="b1">G</font> iff  for <font color="Olive" title="b3">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">G</font> holds  <font color="Olive" title="b3">A</font> <a href="group_1a.html#K16" title="GROUP_1A:func.16">+</a> <font color="Olive" title="b2">H</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">H</font> <a href="group_1a.html#K17" title="GROUP_1A:func.17">+</a> <font color="Olive" title="b3">A</font> )</div></div>
