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<b>let </b><font color="Maroon">L</font> be   <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">I</font> be    <a href="filter_2.html#M2" target="_self">Ideal</a> of <font color="Maroon">L</font>;<br/>



<a NAME="E1:63"/>
<span class="p1"><a href="filter_2.html#K19" target="_self">(.</a><span class="default"><font color="Maroon">I</font></span><a href="filter_2.html#K19" target="_self">.&gt;</a></span> <a href="filter_2.html#R1" target="_self">=</a> <font color="Maroon">I</font>
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:63"/>
( <font color="Maroon">L</font> is <a href="lattices.html#V14">upper-bounded</a> &amp;  <a href="lattices.html#K6">Top</a> <font color="Maroon">L</font> <a href="hidden.html#R2">in</a> <font color="Maroon">I</font> implies ( <font color="Maroon">I</font> <a href="filter_2.html#R1" target="_self">=</a> <span class="p1"><a href="filter_2.html#K17" target="_self">(.</a><span class="default"><font color="Maroon">L</font></span><a href="filter_2.html#K17" target="_self">.&gt;</a></span> &amp; <font color="Maroon">I</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">L</font> ) )
 <b>by </b><i/>;<br/>


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