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<span class="kw">let </span><font color="Maroon" title="c1">L1</font>, <font color="Maroon" title="c2">L2</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="Red">::  thesis: </font></span></a><span class="hide"> ( ( <font color="Maroon" title="c1">L1</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> &amp; <font color="Maroon" title="c2">L2</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> ) iff <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> )</span><br/>



<a NAME="E1:66"/><span class="lab"><font color="Green" title="E43">A1</font></span>: 
( <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> is   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a> iff ( <font color="Maroon" title="c1">L1</font> is   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a> &amp; <font color="Maroon" title="c2">L2</font> is   <a href="lattices.html#NM2" title="LATTICES:NM.2">D_Lattice</a> ) )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T39" target="_self" title="FILTER_1:th.39">Th39</a></span>;<br/>
<a NAME="E2:66"/>
( <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> is   <a href="lattices.html#NM7" title="LATTICES:NM.7">C_Lattice</a> iff ( <font color="Maroon" title="c1">L1</font> is   <a href="lattices.html#NM7" title="LATTICES:NM.7">C_Lattice</a> &amp; <font color="Maroon" title="c2">L2</font> 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_1.html#T46" target="_self" title="FILTER_1:th.46">Th46</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:66"/>
( ( <font color="Maroon" title="c1">L1</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> &amp; <font color="Maroon" title="c2">L2</font> is   <a href="lattices.html#NM8" title="LATTICES:NM.8">B_Lattice</a> ) iff <span class="p1"><a href="filter_1.html#K7" title="FILTER_1:func.7">[:</a><span class="default"><font color="Maroon" title="c1">L1</font>,<font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K7" title="FILTER_1:func.7">:]</a></span> 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="#E1:66"><span class="lab"><font color="Green" title="E43">A1</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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