<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T24"><span class="comment"><font color="firebrick">:: LOPCLSET:24</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">BL</font> being   non  <a href="struct_0.html#V7" title="STRUCT_0:attr.7">trivial</a>  <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a><br/>  for <font color="Olive" title="b2">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">BL</font><br/>  for <font color="Olive" title="b3">F</font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Olive" title="b1">BL</font>  st <font color="Olive" title="b3">F</font> is  <a href="filter_0.html#V1" title="FILTER_0:attr.1">being_ultrafilter</a>  &amp;  not <font color="Olive" title="b3">F</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><a href="lopclset.html#K9" title="LOPCLSET:func.9">UFilter</a> <font color="Olive" title="b1">BL</font></span>)</span> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b2">a</font> holds <br/> not <font color="Olive" title="b2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">F</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="lopclset.html#T18" target="_self" onmouseover="rs('lopclset/T18')" onmouseout="rh()">Th18</a></span>;<br/></div></div>
