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<div><span class="kw">theorem </span><a NAME="T39"><span class="comment"><font color="firebrick">:: FILTER_0:39</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>, <font color="Olive" title="b3">HB</font> being   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <font color="Olive" title="b1">B</font> holds  <span class="p1"><a href="filter_0.html#K3" title="FILTER_0:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">FB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b3">HB</font></span>)</span></span><a href="filter_0.html#K3" title="FILTER_0:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">FB</font> <a href="filter_0.html#K5" title="FILTER_0:func.5">"/\"</a> <font color="Olive" title="b3">HB</font></div></div>
