<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T55"><span class="comment"><font color="firebrick">:: FILTER_2:55</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">IB</font>, <font color="Olive" title="b3">JB</font> being   <a href="filter_2.html#NM1" title="FILTER_2:NM.1">Ideal</a> of <font color="Olive" title="b1">B</font> holds  <span class="p1"><a href="filter_2.html#K7" title="FILTER_2:func.7">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">IB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">JB</font></span>)</span></span><a href="filter_2.html#K7" title="FILTER_2:func.7">.&gt;</a></span> <a href="filter_2.html#R1" title="FILTER_2:pred.1">=</a> <font color="Olive" title="b2">IB</font> <a href="filter_2.html#K8" title="FILTER_2:func.8">"\/"</a> <font color="Olive" title="b3">JB</font></div></div>
