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<a NAME="E1:50_1_1"/>
( the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> is <a href="binop_1.html#V1">commutative</a> &amp; the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> is <a href="binop_1.html#V2">associative</a> &amp; the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> is <a href="binop_1.html#V1">commutative</a> &amp; the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> is <a href="binop_1.html#V2">associative</a> &amp; the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> <a href="lattice2.html#R1" target="_self">absorbs</a> the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> &amp; the <a href="lattices.html#U1">L_meet</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> <a href="lattice2.html#R1" target="_self">absorbs</a> the <a href="lattices.html#U2">L_join</a> of <span class="p1">(<span class="default"><font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a> </span>)</span> )
 
<b>by </b><i><a class="ref" href="lattice2.html#T13" target="_self">Th13</a>, <a class="ref" href="lattice2.html#T14" target="_self">Th14</a></i>;<br/>
<b>hence </b><a NAME="E2:50_1_1"/>
<font color="Maroon">L</font> <a href="lattice2.html#K1" target="_self">.:</a>  is <a href="lattices.html#V10">Lattice-like</a>
 <b>by </b><i/>;<br/>


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