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<div><span class="kw">theorem </span><a NAME="T18"><span class="comment"><font color="firebrick">:: CLOSURE1:18</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">P</font> being   <a href="closure1.html#NM1" title="CLOSURE1:NM.1">MSSetOp</a> of <font color="Olive" title="b2">M</font><br/>  for <font color="Olive" title="b4">E</font>, <font color="Olive" title="b5">T</font> being    <a href="pboole.html#M1" title="PBOOLE:mode.1">Element</a> of  <a href="mssubfam.html#K5" title="MSSUBFAM:func.5">bool</a> <font color="Olive" title="b2">M</font>  st <font color="Olive" title="b3">P</font> is  <a href="closure1.html#V2" title="CLOSURE1:attr.2">monotonic</a>  holds <br/><font color="Olive" title="b3">P</font> <a href="pralg_1.html#K18" title="PRALG_1:func.18">..</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">E</font> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a> <font color="Olive" title="b5">T</font></span>)</span> <a href="pboole.html#R2" title="PBOOLE:pred.2">c=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">P</font> <a href="closure1.html#K2" title="CLOSURE1:func.2">..</a> <font color="Olive" title="b4">E</font></span>)</span> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">P</font> <a href="closure1.html#K2" title="CLOSURE1:func.2">..</a> <font color="Olive" title="b5">T</font></span>)</span></div></div>
