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<span class="kw">set </span><font color="Maroon" title="c1">L</font> =  the   <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>
 the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>
; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> (  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattice6.html#V2" title="LATTICE6:attr.2">co-noetherian</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  )</span><br/>

<a NAME="E1:14_1_1"/>
<span class="p1">(<span class="default"><a href="lattice3.html#K3" title="LATTICE3:func.3">LattPOSet</a>  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a></span>)</span> <a href="lattice3.html#K7" title="LATTICE3:func.7">~</a>  is  <a href="wellfnd1.html#V1" title="WELLFND1:attr.1">well_founded</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="lattice6.html#E8"><span class="lab"><font color="Green" title="E6">Lm6</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:14_1_1"/>
(  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattice6.html#V2" title="LATTICE6:attr.2">co-noetherian</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattices.html#V14" title="LATTICES:attr.14">upper-bounded</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattices.html#V13" title="LATTICES:attr.13">lower-bounded</a>  &amp;  the   <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a>  <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a> is  <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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