<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: FILTER_1:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L1</font>, <font color="Olive" title="b2">L2</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> holds <br/> ( ( <font color="Olive" title="b1">L1</font> is  <a href="filter_0.html#V3" title="FILTER_0:attr.3">implicative</a>  &amp; <font color="Olive" title="b2">L2</font> is  <a href="filter_0.html#V3" title="FILTER_0:attr.3">implicative</a>  ) iff <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Olive" title="b1">L1</font>,<font color="Olive" title="b2">L2</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> is  <a href="filter_0.html#V3" title="FILTER_0:attr.3">implicative</a>  )</div></div>
