<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">LemM</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: LATTICEA:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/>  for <font color="Olive" title="b2">I</font> being   <a href="filter_2.html#NM1" title="FILTER_2:NM.1">Ideal</a> of <font color="Olive" title="b1">L</font> holds <br/> ( <font color="Olive" title="b2">I</font> is  <a href="filter_2.html#V1" title="FILTER_2:attr.1">max-ideal</a>  iff <font color="Olive" title="b2">I</font> is  <a href="latticea.html#V3" title="LATTICEA:attr.3">maximal</a>  )</div></div>
