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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E14">Th51</font></span>: <a NAME="T51"><span class="comment"><font color="firebrick">:: MSSUBFAM:51</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">SF</font> being   <a href="mssubfam.html#NM1" title="MSSUBFAM:NM.1">MSSubsetFamily</a> of <font color="Olive" title="b2">M</font><br/>  for <font color="Olive" title="b4">V</font>, <font color="Olive" title="b5">W</font> being    <a href="pboole.html#M3" title="PBOOLE:mode.3">ManySortedSubset</a> of <font color="Olive" title="b2">M</font>  st <font color="Olive" title="b3">SF</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <span class="p1"><a href="pzfmisc1.html#K2" title="PZFMISC1:func.2">{</a><span class="default"><font color="Olive" title="b4">V</font>,<font color="Olive" title="b5">W</font></span><a href="pzfmisc1.html#K2" title="PZFMISC1:func.2">}</a></span> holds <br/> <a href="mssubfam.html#K4" title="MSSUBFAM:func.4">meet</a> <font color="Olive" title="b3">SF</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Olive" title="b4">V</font> <a href="pboole.html#K3" title="PBOOLE:func.3">(/\)</a> <font color="Olive" title="b5">W</font></div></div>
