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<div><span class="kw">theorem </span><a NAME="T63"><span class="comment"><font color="firebrick">:: GROUP_9:63</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">O</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">E</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">o</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">O</font><br/>  for <font color="Olive" title="b4">A</font> being   <a href="funct_2.html#NM5" title="FUNCT_2:NM.5">Action</a> of <font color="Olive" title="b1">O</font>,<font color="Olive" title="b2">E</font> holds   <a href="group_9.html#K2" title="GROUP_9:func.2">Product</a> (<span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b3">o</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>,<font color="Olive" title="b4">A</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">A</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b3">o</font> <span class="kw">by</span> <span class="lab"><a class="txt" href="group_9.html#E76"><span class="lab"><font color="Green" title="E61">Lm25</font></span></a></span>;<br/></div></div>
