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<div><span class="kw">theorem </span><a NAME="T31"><span class="comment"><font color="firebrick">:: PZFMISC1:31</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">x</font>, <font color="Olive" title="b3">y</font> being   <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of <font color="Olive" title="b1">I</font> holds   <a href="mboolean.html#K2" title="MBOOLEAN:func.2">union</a> <span class="p1"><a href="pzfmisc1.html#K2" title="PZFMISC1:func.2">{</a><span class="default"><span class="p2"><a href="pzfmisc1.html#K1" title="PZFMISC1:func.1">{</a><span class="default"><font color="Olive" title="b2">x</font></span><a href="pzfmisc1.html#K1" title="PZFMISC1:func.1">}</a></span>,<span class="p2"><a href="pzfmisc1.html#K1" title="PZFMISC1:func.1">{</a><span class="default"><font color="Olive" title="b3">y</font></span><a href="pzfmisc1.html#K1" title="PZFMISC1:func.1">}</a></span></span><a href="pzfmisc1.html#K2" title="PZFMISC1:func.2">}</a></span> <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="b2">x</font>,<font color="Olive" title="b3">y</font></span><a href="pzfmisc1.html#K2" title="PZFMISC1:func.2">}</a></span></div></div>
