<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">L</font> be  <a href="group_1.html#V6">finite</a> <a href="lattices.html#NM1">Lattice</a>;<br/>

<a NAME="E1:16"/>
(  <a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font> is <a href="wellfnd1.html#V1">well_founded</a> &amp; <span class="p1">(<span class="default"><a href="lattice3.html#K3">LattPOSet</a> <font color="Maroon">L</font></span>)</span> <a href="lattice3.html#K7">~</a>  is <a href="wellfnd1.html#V1">well_founded</a> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:16"/>
( <font color="Maroon">L</font> is <a href="lattice6.html#V1" target="_self">noetherian</a> &amp; <font color="Maroon">L</font> is <a href="lattice6.html#V2" target="_self">co-noetherian</a> )
 <b>by </b><i>, </i>;<br/>


</div>
