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<b>let </b><font color="Maroon" title="c1">L</font> be   <a href="lattices.html#NM1" title="LATTICES:NM.1">Lattice</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> )</span><br/>

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( the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> iff the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a> </span>)</span> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a> )
 
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<b>hence </b><a NAME="E2:82"/>
( <font color="Maroon" title="c1">L</font> is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is <a href="struct_0.html#V8" title="STRUCT_0:attr.8">finite</a> )
 <b>by </b><i><a class="ref" href="struct_0.html#D11" title="STRUCT_0:def.11">STRUCT_0:def 11</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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