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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/>



<b>assume </b><a NAME="E1:80"/>
<font color="Maroon">L</font> is   <a href="lattices.html#NM8">B_Lattice</a>
 ;<br/>

<a NAME="E2:80"/><b>then </b>
 <a href="filter_0.html#K8" target="_self">latt</a> <span class="p1"><a href="filter_0.html#K2" target="_self">&lt;.</a><span class="default"><font color="Maroon">p</font></span><a href="filter_0.html#K2" target="_self">.)</a></span> is  <a href="lattices.html#V11">distributive</a> <a href="lattices.html#V15">bounded</a> <a href="lattices.html#V16">complemented</a> <a href="lattices.html#NM1">Lattice</a>
 
<b>by </b><i><a class="ref" href="filter_0.html#T15" target="_self">Th15</a>, </i>;<br/>
<b>hence </b><a NAME="E3:80"/>
 <a href="filter_0.html#K8" target="_self">latt</a> <span class="p1"><a href="filter_0.html#K2" target="_self">&lt;.</a><span class="default"><font color="Maroon">p</font></span><a href="filter_0.html#K2" target="_self">.)</a></span> is   <a href="lattices.html#NM8">B_Lattice</a>
 ;<br/>


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