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<span class="kw">let </span><font color="Maroon" title="c1">B</font> be   <a href="lattices.html#V17" title="LATTICES:attr.17">Boolean</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">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">  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K10" title="LATSTONE:func.10">squared-latt</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span>,<span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span></span><br/>

<a NAME="E1:81"/>
<span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span>,<span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a> 
 
;<br/>
<a NAME="E2:81"/><span class="kw">then </span>
 <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c1">B</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T42" onmouseover="rs('filter_1/T42')" onmouseout="rh()">FILTER_1:42</a></span>;<br/>
<a NAME="E3:81"/><span class="kw">then </span>
 <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <span class="p1">(<span class="default"><a href="filter_2.html#K10" title="FILTER_2:func.10">latt</a> (<span class="p2"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c1">B</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span>,<span class="p2">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">B</font>,<font color="Maroon" title="c1">B</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="latstone.html#T2" target="_self" onmouseover="rs('latstone/T2')" onmouseout="rh()">ThB</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:81"/>
 <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K10" title="LATSTONE:func.10">squared-latt</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span>,<span class="p2">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T42" onmouseover="rs('filter_1/T42')" onmouseout="rh()">FILTER_1:42</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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