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<b>let </b><font color="Maroon" title="c1">L</font> be   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>;<br/><b>let </b><font color="Maroon" title="c2">p</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/>



<b>assume </b><a NAME="E1:113"/>
<font color="Maroon" title="c1">L</font> is <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a>
 ;<br/>

<a NAME="E2:113"/><b>then </b>
 <a href="filter_2.html#K23" title="FILTER_2:func.23">latt</a> <font color="Maroon" title="c1">L</font>,<span class="p1"><a href="filter_2.html#K18" title="FILTER_2:func.18">(.</a><span class="default"><font color="Maroon" title="c2">p</font></span><a href="filter_2.html#K18" title="FILTER_2:func.18">.&gt;</a></span> is  <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a> <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a> <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>
 
<b>by </b><i><a class="ref" href="filter_2.html#T80" target="_self" title="FILTER_2:th.80">Th80</a>, <a class="ref" href="filter_2.html#T82" target="_self" title="FILTER_2:th.82">Th82</a></i>;<br/>
<b>hence </b><a NAME="E3:113"/>
 <a href="filter_2.html#K23" title="FILTER_2:func.23">latt</a> <font color="Maroon" title="c1">L</font>,<span class="p1"><a href="filter_2.html#K18" title="FILTER_2:func.18">(.</a><span class="default"><font color="Maroon" title="c2">p</font></span><a href="filter_2.html#K18" title="FILTER_2:func.18">.&gt;</a></span> is <a href="lattices.html#V15" title="LATTICES:attr.15">bounded</a>
 ;<br/>


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