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<div><span class="kw">theorem </span><a NAME="T80"><span class="comment"><font color="firebrick">:: GROUP_23:80</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a><br/>  for <font color="Olive" title="b2">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">J</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b2">I</font>  st <font color="Olive" title="b3">J</font> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  holds <br/> for <font color="Olive" title="b4">F</font> being   <a href="group_23.html#V5" title="GROUP_23:attr.5">normal</a>   <a href="group_20.html#M1" title="GROUP_20:mode.1">Subgroup-Family</a> of <font color="Olive" title="b2">I</font>,<font color="Olive" title="b1">G</font> holds   <a href="pralg_1.html#K14" title="PRALG_1:func.14">Carrier</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">F</font> <a href="group_23.html#K19" title="GROUP_23:func.19">|</a> <font color="Olive" title="b3">J</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> <a href="funcop_1.html#K7" title="FUNCOP_1:func.7">--&gt;</a> <span class="p1">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">G</font></span>)</span> ;<br/></div></div>
