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

<b>let </b><font color="Maroon">DL</font> be  <a href="lattices.html#V11">distributive</a> <a href="lattices.html#V14">upper-bounded</a> <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">B</font> be   <a href="finsub_1.html#NM1">Finite_Subset</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">DL</font>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">DL</font>;<br/>





<b>set </b><font color="Maroon">J</font> = the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font>;<br/>
<b>set </b><font color="Maroon">M</font> = the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">DL</font>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="lattice4.html#K2" target="_self">FinMeet</a> <font color="Maroon">B</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">p</font> = 
the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font> <a href="binop_1.html#K2">.</a> <span class="p1">(<span class="default">the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">DL</font> <a href="setwiseo.html#K7">$$</a> <font color="Maroon">B</font>,<span class="p2">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span></span>)</span>,<font color="Maroon">p</font>
<b>by </b><i/>
<br/>.= 
the <a href="lattices.html#U1">L_meet</a> of <font color="Maroon">DL</font> <a href="setwiseo.html#K7">$$</a> <font color="Maroon">B</font>,<span class="p1">(<span class="default">the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font> <a href="funcop_1.html#K7">[:]</a> <span class="p2">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span>,<font color="Maroon">p</font></span>)</span>
<b>by </b><i/>
<br/>.= 
 <a href="lattice2.html#K3">FinMeet</a> <font color="Maroon">B</font>,<span class="p1">(<span class="default">the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font> <a href="funcop_1.html#K7">[:]</a> <span class="p2">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span>,<font color="Maroon">p</font></span>)</span>
<b>by </b><i><a class="ref" href="lattice2.html#D4">LATTICE2:def 4</a></i>
<br/>.= 
 <a href="lattice2.html#K3">FinMeet</a> <font color="Maroon">B</font>,<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span> <a href="partfun1.html#K1">*</a> <span class="p2">(<span class="default">the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font> <a href="funcop_1.html#K7">[:]</a> <span class="p3">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span>,<font color="Maroon">p</font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="tmap_1.html#T93">TMAP_1:93</a></i>
<br/>.= 
 <a href="lattice4.html#K2" target="_self">FinMeet</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default">the <a href="lattices.html#U2">L_join</a> of <font color="Maroon">DL</font> <a href="funcop_1.html#K7">[:]</a> <span class="p3">(<span class="default"><a href="grcat_1.html#K7">id</a> <font color="Maroon">DL</font></span>)</span>,<font color="Maroon">p</font></span>)</span> <a href="setwiseo.html#K8">.:</a> <font color="Maroon">B</font></span>)</span>
<b>by </b><i/>
;<br/>


</div>
