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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">  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> <font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">L</font> = <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>;<br/>
<span class="kw">set </span><font color="Maroon" title="c3">P</font> = <font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a> ;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">o1</font>, <font color="Maroon" title="c5">o2</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span><span class="kw"> such that </span><br/><a NAME="E2:77"/><span class="lab"><font color="Green" title="E31">A1</font></span>: 
( <font color="Maroon" title="c4">o1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="lattices.html#U2" title="LATTICES:sel.2">L_join</a> of <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="realset1.html#K1" title="REALSET1:func.1">||</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span> &amp; <font color="Maroon" title="c5">o2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="lattices.html#U1" title="LATTICES:sel.1">L_meet</a> of <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="realset1.html#K1" title="REALSET1:func.1">||</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span> &amp;  <a href="filter_2.html#K10" title="FILTER_2:func.10">latt</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="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#G3" title="LATTICES:aggr.3">LattStr</a>(# <span class="p1">(<span class="default"><font color="Maroon" title="c1">B</font> <a href="latstone.html#K9" title="LATSTONE:func.9">squared</a></span>)</span>,<font color="Maroon" title="c4">o1</font>,<font color="Maroon" title="c5">o2</font> #) )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#D14" onmouseover="rs('filter_2/D14')" onmouseout="rh()">FILTER_2:def 14</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:77"/>
 the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <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> <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="txt" href="#E2:77"><span class="lab"><font color="Green" title="E31">A1</font></span></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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