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<b>let </b><font color="Maroon">L</font> be  <a href="lattices.html#V13">lower-bounded</a> <a href="lattices.html#NM1">Lattice</a>;<br/>

<b>set </b><font color="Maroon">x</font> =  <a href="lattice3.html#K5">%</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p2">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="12_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><a NAME="E1:12_1"/>
<font color="Maroon">a</font> <a href="lattice3.html#K4">%</a>  <a href="orders_2.html#NR2" target="_self">&gt;=</a>  <a href="yellow_0.html#K3">Bottom</a> <span class="p1">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span>
 <b>by </b><i><a class="ref" href="yellow_0.html#T44">YELLOW_0:44</a></i>;<br/><a NAME="E2:12_1"/><b>then </b>
<font color="Maroon">a</font> <a href="lattice3.html#K4">%</a>  <a href="orders_2.html#NR2" target="_self">&gt;=</a> <span class="p1">(<span class="default"><a href="lattice3.html#K5">%</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p3">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span></span>)</span> <a href="lattice3.html#K4">%</a> 
 ;<br/><a NAME="E3:12_1"/><b>then </b>
 <a href="lattice3.html#K5">%</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p2">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span> <a href="lattices.html#R3">[=</a> <font color="Maroon">a</font>
 <b>by </b><i><a class="ref" href="lattice3.html#T7">LATTICE3:7</a></i>;<br/><b>hence </b><a NAME="E4:12_1"/>
( <span class="p1">(<span class="default"><a href="lattice3.html#K5">%</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p3">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span></span>)</span> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a>  <a href="lattice3.html#K5">%</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p2">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span> &amp; <font color="Maroon">a</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><a href="lattice3.html#K5">%</a> <span class="p2">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p3">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span></span>)</span> <a href="hidden.html#R1">=</a>  <a href="lattice3.html#K5">%</a> <span class="p1">(<span class="default"><a href="yellow_0.html#K3">Bottom</a> <span class="p2">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span></span>)</span> )
 <b>by </b><i><a class="ref" href="lattices.html#T21">LATTICES:21</a></i>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:12"/>
 <a href="lattices.html#K5">Bottom</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K3">Bottom</a> <span class="p1">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span>
 <b>by </b><i><a class="ref" href="lattices.html#D16">LATTICES:def 16</a></i>;<br/>


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