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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E32">Th30</font></span>: <a NAME="T33"><span class="comment"><font color="firebrick">:: GROUP_23:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">I</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">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="b3">F</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   <a href="group_23.html#K12" title="GROUP_23:func.12">proj</a> (<font color="Olive" title="b3">F</font>,<font color="Olive" title="b2">i</font>) is  <a href="funct_2.html#V2" title="FUNCT_2:attr.2">onto</a> </div></div>
