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<div><span class="kw">theorem </span><a NAME="T35"><span class="comment"><font color="firebrick">:: FILTER_2:35</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">p</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Olive" title="b1">L</font>  st <font color="Olive" title="b1">L</font> is  <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a>  &amp; <font color="Olive" title="b2">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Olive" title="b1">L</font> holds <br/> ex <font color="Olive" title="b3">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 <br/>( <font color="Olive" title="b2">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">I</font> &amp; <font color="Olive" title="b3">I</font> is  <a href="filter_2.html#V1" title="FILTER_2:attr.1">max-ideal</a>  )</div></div>
