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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" 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"> ( <font color="Maroon" title="c1">L</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> )</span><br/>

<a NAME="E1:70"/><span class="lab"><font color="Green" title="E27">A1</font></span>: 
( <font color="Maroon" title="c1">L</font> is  <a href="lattices.html#V11" title="LATTICES:attr.11">distributive</a>  iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is  <a href="lattices.html#V11" title="LATTICES:attr.11">distributive</a>  )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T50" onmouseover="rs('lattice2/T50')" onmouseout="rh()">LATTICE2:50</a></span>;<br/>
<a NAME="E2:70"/>
( <font color="Maroon" title="c1">L</font> is   <a href="lattices.html#NM7" title="LATTICES:NM.7">C_Lattice</a> iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is   <a href="lattices.html#NM7" title="LATTICES:NM.7">C_Lattice</a> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_2.html#T52" target="_self" onmouseover="rs('filter_2/T52')" onmouseout="rh()">Th52</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:70"/>
( <font color="Maroon" title="c1">L</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> iff <font color="Maroon" title="c1">L</font> <a href="lattice2.html#K1" title="LATTICE2:func.1">.:</a>  is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:70"><span class="lab"><font color="Green" title="E27">A1</font></span></a></span>; <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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