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<span class="kw">let </span><font color="Maroon" title="c1">B</font> be   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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#NM1" title="FILTER_2:NM.1">Ideal</a> of <font color="Maroon" title="c1">B</font> holds  <span class="p1"><a href="filter_2.html#K7" title="FILTER_2:func.7">(.</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#K7" title="FILTER_2:func.7">.&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#K8" title="FILTER_2:func.8">"\/"</a> <font color="Olive" title="b2">JB</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">IB</font>, <font color="Maroon" title="c3">JB</font> be   <a href="filter_2.html#NM1" title="FILTER_2:NM.1">Ideal</a> of <font color="Maroon" title="c1">B</font>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <span class="p1"><a href="filter_2.html#K7" title="FILTER_2:func.7">(.</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#K7" title="FILTER_2:func.7">.&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#K8" title="FILTER_2:func.8">"\/"</a> <font color="Maroon" title="c3">JB</font></span><br/>





<span class="kw">reconsider </span><font color="Maroon" title="c4">FB</font> = <font color="Maroon" title="c2">IB</font> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a> , <font color="Maroon" title="c5">GB</font> = <font color="Maroon" title="c3">JB</font> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a>  as   <a href="filter_0.html#NM1" title="FILTER_0:NM.1">Filter</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a></span>)</span> ;<br/>
<span class="kw">thus </span><span class="p1"><a href="filter_2.html#K7" title="FILTER_2:func.7">(.</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#K7" title="FILTER_2:func.7">.&gt;</a></span> = 
<span class="p1"><a href="filter_0.html#K3" title="FILTER_0: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#K3" title="FILTER_2:func.3">.:</a></span>)</span></span><a href="filter_0.html#K3" title="FILTER_0:func.3">.)</a></span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#T36" target="_self" onmouseover="rs('filter_2/T36')" onmouseout="rh()">Th36</a></span>
<br/>.= 
<font color="Maroon" title="c4">FB</font> <a href="filter_0.html#K5" title="FILTER_0:func.5">"/\"</a> <font color="Maroon" title="c5">GB</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_0.html#T39" onmouseover="rs('filter_0/T39')" onmouseout="rh()">FILTER_0:39</a></span>
<br/>.= 
<font color="Maroon" title="c2">IB</font> <a href="filter_2.html#K8" title="FILTER_2:func.8">"\/"</a> <font color="Maroon" title="c3">JB</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#T44" target="_self" onmouseover="rs('filter_2/T44')" onmouseout="rh()">Th44</a></span>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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