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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: CLOSURE2:31</font></span><br/></a><div class="add"> 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">M</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font><br/>  for <font color="Olive" title="b3">g</font> being   <a href="closure2.html#NM3" title="CLOSURE2:NM.3">SetOp</a> of <font color="Olive" title="b2">M</font>  st <font color="Olive" title="b3">g</font> is  <a href="closure2.html#V7" title="CLOSURE2:attr.7">reflexive</a>  &amp; (  for <font color="Olive" title="b4">X</font> being    <a href="closure2.html#M1" title="CLOSURE2:mode.1">Element</a> of  <a href="closure2.html#K6" title="CLOSURE2:func.6">Bool</a> <font color="Olive" title="b2">M</font> holds  <font color="Olive" title="b3">g</font> <a href="closure2.html#K7" title="CLOSURE2:func.7">.</a> <font color="Olive" title="b4">X</font> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <font color="Olive" title="b4">X</font> ) holds <br/><font color="Olive" title="b3">g</font> is  <a href="closure2.html#V9" title="CLOSURE2:attr.9">idempotent</a> </div></div>
