<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">B</font> be   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> for <font color="Olive" title="b1">IB</font>, <font color="Olive" title="b2">JB</font> being   <a href="filter_2.html#M2" title="FILTER_2:mode.2">Ideal</a> of <font color="Maroon" title="c1">B</font> holds  <span class="p1"><a href="filter_2.html#K19" title="FILTER_2:func.19">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">IB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">JB</font></span>)</span></span><a href="filter_2.html#K19" title="FILTER_2:func.19">.&gt;</a></span> <a href="filter_2.html#R1" title="FILTER_2:pred.1">=</a> <font color="Olive" title="b1">IB</font> <a href="filter_2.html#K21" title="FILTER_2:func.21">"\/"</a> <font color="Olive" title="b2">JB</font></span><br/><b>let </b><font color="Maroon" title="c2">IB</font>, <font color="Maroon" title="c3">JB</font> be    <a href="filter_2.html#M2" title="FILTER_2:mode.2">Ideal</a> of <font color="Maroon" title="c1">B</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <span class="p1"><a href="filter_2.html#K19" title="FILTER_2:func.19">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">IB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">JB</font></span>)</span></span><a href="filter_2.html#K19" title="FILTER_2:func.19">.&gt;</a></span> <a href="filter_2.html#R1" title="FILTER_2:pred.1">=</a> <font color="Maroon" title="c2">IB</font> <a href="filter_2.html#K21" title="FILTER_2:func.21">"\/"</a> <font color="Maroon" title="c3">JB</font></span><br/>





<b>reconsider </b><font color="Maroon" title="c4">FB</font> = <font color="Maroon" title="c2">IB</font> <a href="filter_2.html#K15" title="FILTER_2:func.15">.:</a> , <font color="Maroon" title="c5">GB</font> = <font color="Maroon" title="c3">JB</font> <a href="filter_2.html#K15" title="FILTER_2:func.15">.:</a>  as    <a href="filter_2.html#M1" title="FILTER_2:mode.1">Filter</a> of <font color="Maroon" title="c1">B</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  ;<br/>
<b>thus </b><span class="p1"><a href="filter_2.html#K19" title="FILTER_2:func.19">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">IB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">JB</font></span>)</span></span><a href="filter_2.html#K19" title="FILTER_2:func.19">.&gt;</a></span> = 
<span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">IB</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Maroon" title="c3">JB</font></span>)</span> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span>
<b>by </b><i><a class="ref" href="filter_2.html#T37" target="_self" title="FILTER_2:th.37">Th37</a></i>
<br/>.= 
<font color="Maroon" title="c4">FB</font> <a href="filter_2.html#K4" title="FILTER_2:func.4">"/\"</a> <font color="Maroon" title="c5">GB</font>
<b>by </b><i><a class="ref" href="filter_0.html#T52" title="FILTER_0:th.52">FILTER_0:52</a></i>
<br/>.= 
<font color="Maroon" title="c2">IB</font> <a href="filter_2.html#K21" title="FILTER_2:func.21">"\/"</a> <font color="Maroon" title="c3">JB</font>
<b>by </b><i><a class="ref" href="filter_2.html#T45" target="_self" title="FILTER_2:th.45">Th45</a></i>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
