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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E40">Th46</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: FILTER_0:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">B</font> being   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a><br/>  for <font color="Olive" title="b2">FB</font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Olive" title="b1">B</font>  st <font color="Olive" title="b2">FB</font> is  <a href="filter_0.html#V1" title="FILTER_0:attr.1">being_ultrafilter</a>  holds <br/> for <font color="Olive" title="b3">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">B</font> holds <br/> ( <font color="Olive" title="b3">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">FB</font> iff  not <font color="Olive" title="b3">a</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">FB</font> )</div></div>
