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

<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="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span> </span><br/>

<span class="kw">set </span><font color="Maroon" title="c2">L</font> = <font color="Maroon" title="c1">B</font> <a href="latstone.html#K10" title="LATSTONE:func.10">squared-latt</a> ;<br/>
<span class="kw">thus </span><a NAME="E1:88"/>
 <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span> 
  <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="xboole_0.html#D10" onmouseover="rs('xboole_0/D10')" onmouseout="rh()">XBOOLE_0:def 10</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"> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span>  <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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></span><div><a class="txt" onmouseover="tooltip.show('hs2',this)" onmouseout="tooltip.hide()" onclick="hs2(this)" href="javascript:()" title="88_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c3">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="tarski.html#D3" onmouseover="rs('tarski/D3')" onmouseout="rh()">TARSKI:def 3</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"> (  not <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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> or <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:88_1"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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 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"> <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span> </span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</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><span class="kw"> such that </span><br/><a NAME="E3:88_1"/><span class="lab"><font color="Green" title="E34">A1</font></span>: 
( <font color="Maroon" title="c3">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">a</font> &amp; <font color="Maroon" title="c4">a</font> <a href="latstone.html#K1" title="LATSTONE:func.1">*</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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> )
 ;<br/>
<a NAME="E4:88_1"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  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>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:88_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a></span>;<br/>
<a NAME="E5:88_1"/><span class="kw">then </span>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN: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="latstone.html#T34" target="_self" onmouseover="rs('latstone/T34')" onmouseout="rh()">SquaredCarrier</a></span>;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c5">a1</font>, <font color="Maroon" title="c6">a2</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font><span class="kw"> such that </span><br/><a NAME="E7:88_1"/><span class="lab"><font color="Green" title="E35">A2</font></span>: 
( <font color="Maroon" title="c3">x</font> <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"><font color="Maroon" title="c5">a1</font>,<font color="Maroon" title="c6">a2</font></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> &amp; <font color="Maroon" title="c5">a1</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Maroon" title="c6">a2</font> )
 ;<br/>
<a NAME="E8:88_1"/><span class="lab"><font color="Green" title="E36">A3</font></span>: 
<font color="Maroon" title="c4">a</font> <a href="latstone.html#K1" title="LATSTONE:func.1">*</a>  <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="txt" href="#E3:88_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a>, <a class="ref" href="latstone.html#T37" target="_self" onmouseover="rs('latstone/T37')" onmouseout="rh()">SquaredBottom</a></span>;<br/>
<a NAME="E9:88_1"/>
<font color="Maroon" title="c4">a</font> <a href="latstone.html#K1" title="LATSTONE:func.1">*</a>  <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"><font color="Maroon" title="c6">a2</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon" title="c6">a2</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></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="txt" href="#E3:88_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a>, <a class="txt" href="#E7:88_1"><span class="lab"><font color="Green" title="E35">A2</font></span></a>, <a class="ref" href="latstone.html#T39" target="_self" onmouseover="rs('latstone/T39')" onmouseout="rh()">PseudoInSquared</a></span>;<br/>
<a NAME="E10:88_1"/><span class="kw">then </span>
<span class="p1">(<span class="default"><font color="Maroon" title="c6">a2</font> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">B</font></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:88_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="ref" href="xtuple_0.html#T1" onmouseover="rs('xtuple_0/T1')" onmouseout="rh()">XTUPLE_0:1</a></span>;<br/>
<a NAME="E11:88_1"/><span class="kw">then </span>
<font color="Maroon" title="c6">a2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice4.html#T30" onmouseover="rs('lattice4/T30')" onmouseout="rh()">LATTICE4:30</a></span>;<br/>
<span class="kw">hence </span><a NAME="E12:88_1"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E7:88_1"><span class="lab"><font color="Green" title="E35">A2</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/>


</div><span class="kw">end;</span></div>

<span class="kw">let </span><font color="Maroon" title="c3">x</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> ; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="tarski.html#D3" onmouseover="rs('tarski/D3')" onmouseout="rh()">TARSKI:def 3</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"> (  not <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </span>  or <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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> )</span><br/>

<span class="kw">assume </span><a NAME="E2:88"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="filter_1.html#K9" title="FILTER_1:func.9">[</a><span class="default"><font color="Olive" title="b1">a</font>,<span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span> where <font color="Olive" title="b1">a</font> is   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font> : verum </span> } </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"> <font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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></span><br/>

<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c4">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">B</font><span class="kw"> such that </span><br/><a NAME="E4:88"/><span class="lab"><font color="Green" title="E34">A1</font></span>: 
<font color="Maroon" title="c3">x</font> <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"><font color="Maroon" title="c4">a</font>,<span class="p2">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span></span><a href="filter_1.html#K9" title="FILTER_1:func.9">]</a></span>
 ;<br/>
<a NAME="E5:88"/>
<font color="Maroon" title="c4">a</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a>  <a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattices.html#T19" onmouseover="rs('lattices/T19')" onmouseout="rh()">LATTICES:19</a></span>;<br/>
<a NAME="E6:88"/><span class="kw">then </span>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN: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="txt" href="#E4:88"><span class="lab"><font color="Green" title="E34">A1</font></span></a></span>;<br/>
<span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c5">y</font> = <font color="Maroon" title="c3">x</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</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> <span class="kw">by</span> <span class="lab"><a class="ref" href="latstone.html#T34" target="_self" onmouseover="rs('latstone/T34')" onmouseout="rh()">SquaredCarrier</a></span>;<br/>
<a NAME="E8:88"/>
<font color="Maroon" title="c5">y</font> <a href="latstone.html#K1" title="LATSTONE:func.1">*</a>  <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"><span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></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="txt" href="#E4:88"><span class="lab"><font color="Green" title="E34">A1</font></span></a>, <a class="ref" href="latstone.html#T39" target="_self" onmouseover="rs('latstone/T39')" onmouseout="rh()">PseudoInSquared</a></span>;<br/>
<span class="kw">then </span><font color="Maroon" title="c5">y</font> <a href="latstone.html#K1" title="LATSTONE:func.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"><span class="p3">(<span class="default"><a href="lattices.html#K6" title="LATTICES:func.6">Top</a> <font color="Maroon" title="c1">B</font></span>)</span> <a href="lattices.html#K7" title="LATTICES:func.7">`</a></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="lattice4.html#T29" onmouseover="rs('lattice4/T29')" onmouseout="rh()">LATTICE4:29</a></span>
<br/>.= 
<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="lattice4.html#T29" onmouseover="rs('lattice4/T29')" onmouseout="rh()">LATTICE4:29</a></span>
<br/>.= 
 <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>
<span class="kw">by</span> <span class="lab"><a class="ref" href="latstone.html#T37" target="_self" onmouseover="rs('latstone/T37')" onmouseout="rh()">SquaredBottom</a></span>
;<br/>
<span class="kw">hence </span><a NAME="E10:88"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="latstone.html#K6" title="LATSTONE:func.6">DenseElements</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 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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