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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="lattice3.html#V4" title="LATTICE3:attr.4">complete</a> implies <font color="Maroon" title="c1">L</font> is <a href="lattices.html#V15" title="LATTICES:attr.15">bounded</a> )</span><br/>

<b>assume </b><a NAME="E1:31_1_1"/>
<font color="Maroon" title="c1">L</font> is <a href="lattice3.html#V4" title="LATTICE3:attr.4">complete</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="lattices.html#V15" title="LATTICES:attr.15">bounded</a></span><br/>

<a NAME="E2:31_1_1"/><b>then </b>
( <font color="Maroon" title="c1">L</font> is   <a href="lattices.html#NM4" title="LATTICES:NM.4">0_Lattice</a> &amp; <font color="Maroon" title="c1">L</font> is   <a href="lattices.html#NM5" title="LATTICES:NM.5">1_Lattice</a> )
 
<b>by </b><i><a class="ref" href="lattice3.html#T50" title="LATTICE3:th.50">LATTICE3:50</a>, <a class="ref" href="lattice3.html#T51" title="LATTICE3:th.51">LATTICE3:51</a></i>;<br/>
<b>hence </b><a NAME="E3:31_1_1"/>
<font color="Maroon" title="c1">L</font> is <a href="lattices.html#V15" title="LATTICES:attr.15">bounded</a>
 <b>by </b><i><a class="ref" href="lattices.html#D15" title="LATTICES:def.15">LATTICES:def 15</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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