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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="lattices.html#NM1">Lattice</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>assume </b><a NAME="E1:113"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="lattices.html#V13">lower-bounded</a>
 ;<br/>

<a NAME="E2:113"/><b>then </b>
 <a href="filter_2.html#K23" target="_self">latt</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1"><a href="filter_2.html#K18" target="_self">(.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="filter_2.html#K18" target="_self">.&gt;</a></span> is  <a href="lattices.html#V13">lower-bounded</a> <a href="lattices.html#V14">upper-bounded</a> <a href="lattices.html#NM1">Lattice</a>
 
<b>by </b><i><a class="ref" href="filter_2.html#T80" target="_self">Th80</a>, <a class="ref" href="filter_2.html#T82" target="_self">Th82</a></i>;<br/>
<b>hence </b><a NAME="E3:113"/>
 <a href="filter_2.html#K23" target="_self">latt</a> <font color="Maroon">c<sub>1</sub></font>,<span class="p1"><a href="filter_2.html#K18" target="_self">(.</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="filter_2.html#K18" target="_self">.&gt;</a></span> is <a href="lattices.html#V15">bounded</a>
 ;<br/>


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