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<b>let </b><font color="Maroon">L</font> be   <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">p</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>



<a NAME="E1:111"/><i><font color="Green">E14</font></i>: 
 <a href="filter_0.html#K8">latt</a> <span class="p1"><a href="filter_2.html#K2" target="_self">&lt;.</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="filter_2.html#K5" target="_self">.:</a> </span>)</span></span><a href="filter_2.html#K2" target="_self">.)</a></span> is <a href="lattices.html#V13">lower-bounded</a>
 
<b>by </b><i><a class="ref" href="filter_0.html#T70">FILTER_0:70</a></i>;<br/>
 <a href="filter_2.html#K23" target="_self">latt</a> <font color="Maroon">L</font>,<span class="p1"><a href="filter_2.html#K18" target="_self">(.</a><span class="default"><font color="Maroon">p</font></span><a href="filter_2.html#K18" target="_self">.&gt;</a></span> = 
<span class="p1">(<span class="default"><a href="filter_2.html#K23" target="_self">latt</a> <span class="p2">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1">.:</a> </span>)</span>,<span class="p2">(<span class="default"><span class="p3"><a href="filter_2.html#K18" target="_self">(.</a><span class="default"><font color="Maroon">p</font></span><a href="filter_2.html#K18" target="_self">.&gt;</a></span> <a href="filter_2.html#K15" target="_self">.:</a> </span>)</span></span>)</span> <a href="filter_2.html#K24" target="_self">.:</a> 
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="filter_2.html#K23" target="_self">latt</a> <span class="p2">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1">.:</a> </span>)</span>,<span class="p2"><a href="filter_2.html#K2" target="_self">&lt;.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="filter_2.html#K5" target="_self">.:</a> </span>)</span></span><a href="filter_2.html#K2" target="_self">.)</a></span></span>)</span> <a href="filter_2.html#K24" target="_self">.:</a> 
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="filter_0.html#K8">latt</a> <span class="p2"><a href="filter_2.html#K2" target="_self">&lt;.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="filter_2.html#K5" target="_self">.:</a> </span>)</span></span><a href="filter_2.html#K2" target="_self">.)</a></span></span>)</span> <a href="lattice2.html#K1">.:</a> 
<b>by </b><i/>
;<br/>
<b>hence </b> <a href="lattices.html#K6">Top</a> <span class="p1">(<span class="default"><a href="filter_2.html#K23" target="_self">latt</a> <font color="Maroon">L</font>,<span class="p2"><a href="filter_2.html#K18" target="_self">(.</a><span class="default"><font color="Maroon">p</font></span><a href="filter_2.html#K18" target="_self">.&gt;</a></span></span>)</span> = 
 <a href="lattices.html#K5">Bottom</a> <span class="p1">(<span class="default"><a href="filter_0.html#K8">latt</a> <span class="p2"><a href="filter_2.html#K2" target="_self">&lt;.</a><span class="default"><span class="p3">(<span class="default"><font color="Maroon">p</font> <a href="filter_2.html#K5" target="_self">.:</a> </span>)</span></span><a href="filter_2.html#K2" target="_self">.)</a></span></span>)</span>
<b>by </b><i>, <a class="ref" href="lattice2.html#T78">LATTICE2:78</a></i>
<br/>.= 
<font color="Maroon">p</font>
<b>by </b><i><a class="ref" href="filter_0.html#T71">FILTER_0:71</a></i>
;<br/><br/>


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