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

<span class="kw">let </span><font color="Maroon" title="c1">L</font> be   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">D</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">L</font><br/> for <font color="Olive" title="b2">D9</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a> </span>)</span> holds <br/> ( <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Olive" title="b1">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b1">D</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Olive" title="b2">D9</font></span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Olive" title="b2">D9</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b2">D9</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Olive" title="b2">D9</font></span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">D</font> be  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c1">L</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">D9</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a> </span>)</span> holds <br/> ( <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Olive" title="b1">D9</font></span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Olive" title="b1">D9</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Olive" title="b1">D9</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Olive" title="b1">D9</font></span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">D9</font> be  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a> </span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c3">D9</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c3">D9</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> )</span><br/>





<a NAME="E1:57"/><span class="lab"><font color="Green" title="E20">A1</font></span>: 
for <font color="Olive" title="b1">L</font> being  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a><br/> for <font color="Olive" title="b2">D</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">L</font> holds  <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Olive" title="b2">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="57_1"><span class="kw">proof </span></a><div class="add">

<span class="kw">let </span><font color="Maroon" title="c4">L</font> be   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">D</font> being non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c4">L</font> holds  <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Olive" title="b1">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span></span><br/><span class="kw">let </span><font color="Maroon" title="c5">D</font> be  non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c4">L</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span></span><br/>



<a NAME="E1:57_1"/>
<span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span>
 
;<br/>
<a NAME="E2:57_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E21">A2</font></span>: 
( <font color="Maroon" title="c5">D</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> implies <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_0.html#D5" title="FILTER_0:def.5">FILTER_0:def 5</a></span>;<br/>
<a NAME="E3:57_1"/>
 <a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span>
 
;<br/>
<a NAME="E4:57_1"/><span class="kw">then </span>
( <font color="Maroon" title="c5">D</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> implies <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#D11" target="_self" title="FILTER_2:def.11">Def11</a></span>;<br/>
<span class="kw">hence </span><a NAME="E5:57_1"/>
<span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c5">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c5">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:57_1"><span class="lab"><font color="Green" title="E21">A2</font></span></a>, <a class="ref" href="filter_2.html#D11" target="_self" title="FILTER_2:def.11">Def11</a>, <a class="ref" href="filter_0.html#D5" title="FILTER_0:def.5">FILTER_0:def 5</a>, <a class="ref" href="xboole_0.html#D10" title="XBOOLE_0:def.10">XBOOLE_0:def 10</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div><span class="kw">end;</span></div>
<a NAME="E2:57"/>
( <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="filter_2.html#E49"><span class="lab"><font color="Green" title="E18">Lm1</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:57"/>
( <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c2">D</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">D</font> <a href="filter_2.html#K7" title="FILTER_2:func.7">.:</a> </span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><font color="Maroon" title="c3">D9</font></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> &amp; <span class="p1"><a href="filter_2.html#K3" title="FILTER_2:func.3">&lt;.</a><span class="default"><font color="Maroon" title="c3">D9</font></span><a href="filter_2.html#K3" title="FILTER_2:func.3">.)</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="filter_2.html#K11" title="FILTER_2:func.11">(.</a><span class="default"><span class="p2">(<span class="default"><a href="filter_2.html#K8" title="FILTER_2:func.8">.:</a> <font color="Maroon" title="c3">D9</font></span>)</span></span><a href="filter_2.html#K11" title="FILTER_2:func.11">.&gt;</a></span> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:57"><span class="lab"><font color="Green" title="E20">A1</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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