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<span class="kw">reconsider </span><font color="Maroon" title="c4">K</font> = <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  as   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a> <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T50" onmouseover="rs('lattice2/T50')" onmouseout="rh()">LATTICE2:50</a></span>;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c5">J1</font> = <font color="Maroon" title="c2">I1</font> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a> , <font color="Maroon" title="c6">J2</font> = <font color="Maroon" title="c3">I2</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 <font color="Maroon" title="c4">K</font> ;<br/>
<a NAME="E3:64_1_1"/>
( <font color="Maroon" title="c2">I1</font> <a href="filter_2.html#K8" title="FILTER_2:func.8">"\/"</a> <font color="Maroon" title="c3">I2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">I1</font> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a></span>)</span> <a href="filter_0.html#K5" title="FILTER_0:func.5">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">I2</font> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a></span>)</span> &amp; <font color="Maroon" title="c5">J1</font> <a href="filter_0.html#K5" title="FILTER_0:func.5">"/\"</a> <font color="Maroon" title="c6">J2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c5">J1</font> <a href="filter_0.html#K5" title="FILTER_0:func.5">"/\"</a> <font color="Maroon" title="c6">J2</font></span>)</span> <a href="filter_2.html#K3" title="FILTER_2:func.3">.:</a>  )
 
<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>;<br/>
<span class="kw">hence </span><a NAME="E4:64_1_1"/>
( <font color="Maroon" title="c2">I1</font> <a href="filter_2.html#K8" title="FILTER_2:func.8">"\/"</a> <font color="Maroon" title="c3">I2</font> is  <a href="lattices.html#V18" title="LATTICES:attr.18">initial</a>  &amp; <font color="Maroon" title="c2">I1</font> <a href="filter_2.html#K8" title="FILTER_2:func.8">"\/"</a> <font color="Maroon" title="c3">I2</font> is  <a href="lattices.html#V21" title="LATTICES:attr.21">join-closed</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#T16" target="_self" onmouseover="rs('filter_2/T16')" onmouseout="rh()">Th16</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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