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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E13">Def2</font></span>   defines <a href="group_23.html#V2" title="GROUP_23:attr.2">-Subgroup-yielding</a> <a onclick="hs(this)" href="javascript:()">GROUP_23:def 2 : <br/></a><span> for <font color="Olive" title="b1">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font>, <font color="Olive" title="b3">IT</font> being   <a href="group_19.html#NM1" title="GROUP_19:NM.1">Group-Family</a> of <font color="Olive" title="b1">I</font> holds <br/> ( <font color="Olive" title="b3">IT</font> is <font color="Olive" title="b2">F</font> <a href="group_23.html#V2" title="GROUP_23:attr.2">-Subgroup-yielding</a>  iff  for <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b5">G</font> being   <a href="group_1.html#NM1" title="GROUP_1:NM.1">Group</a>  st <font color="Olive" title="b5">G</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">F</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">i</font> holds <br/><font color="Olive" title="b3">IT</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">i</font> is    <a href="group_2.html#M1" title="GROUP_2:mode.1">Subgroup</a> of <font color="Olive" title="b5">G</font> );<br/></span></div>
