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<div><span class="kw">theorem </span><a NAME="T33"><span class="comment"><font color="firebrick">:: LATTICEA:33</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">L</font> being   <a href="lattices.html#V11" title="LATTICES:attr.11">distributive</a>   <a href="lattices.html#V15" title="LATTICES:attr.15">bounded</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> holds <br/> ( <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V17" title="LATTICES:attr.17">Boolean</a>  iff  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>  st <font color="Olive" title="b2">I</font> is  <a href="subset_1.html#V1" title="SUBSET_1:attr.1">proper</a>  &amp; <font color="Olive" title="b2">I</font> is  <a href="filter_2.html#V2" title="FILTER_2:attr.2">prime</a>  holds <br/><font color="Olive" title="b2">I</font> is  <a href="latticea.html#V3" title="LATTICEA:attr.3">maximal</a>  )</div></div>
