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<span class="kw">let </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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/>

<span class="kw">assume </span><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:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></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"/><span class="kw">then </span>
( <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> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice3.html#T49" title="LATTICE3:th.49">LATTICE3:49</a>, <a class="ref" href="lattice3.html#T50" title="LATTICE3:th.50">LATTICE3:50</a></span>;<br/>
<span class="kw">hence </span><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> 
 ; <a class="txt" 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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