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<b>consider </b><font color="Maroon" title="c1">L</font> being  <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>;<br/>
<b>take </b>
<font color="Maroon" title="c1">L</font>
;<br/>

<a NAME="E2:13_1_1"/>
 <a href="lattice3.html#K3" title="LATTICE3:func.3">LattPOSet</a> <font color="Maroon" title="c1">L</font> is <a href="wellfnd1.html#V1" title="WELLFND1:attr.1">well_founded</a>
 
;<br/>
<b>hence </b><a NAME="E3:13_1_1"/>
( <font color="Maroon" title="c1">L</font> is <a href="lattice6.html#V1" title="LATTICE6:attr.1">noetherian</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a> &amp; <font color="Maroon" title="c1">L</font> is <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a> )
 <b>by </b><i><a class="ref" href="lattice6.html#D3" target="_self" title="LATTICE6:def.3">Def3</a></i>;<br/>


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