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

<span class="kw">consider </span><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/>
<span class="kw">take </span>
<font color="Maroon" title="c1">L</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <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>  )</span><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/>
<span class="kw">hence </span><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>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="lattice6.html#D3" target="_self" title="LATTICE6:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


</div>
