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<span class="kw">reconsider </span><font color="Maroon" title="c3">LL</font> =  <a href="lattices.html#G3" title="LATTICES:aggr.3">LattStr</a>(# <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default">the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">L1</font>,the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">L2</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<span class="p1"><a href="filter_1.html#K6" title="FILTER_1:func.6">|:</a><span class="default">the <a href="lattices.html#U2" title="LATTICES:sel.2">L_join</a> of <font color="Maroon" title="c1">L1</font>,the <a href="lattices.html#U2" title="LATTICES:sel.2">L_join</a> of <font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K6" title="FILTER_1:func.6">:|</a></span>,<span class="p1"><a href="filter_1.html#K6" title="FILTER_1:func.6">|:</a><span class="default">the <a href="lattices.html#U1" title="LATTICES:sel.1">L_meet</a> of <font color="Maroon" title="c1">L1</font>,the <a href="lattices.html#U1" title="LATTICES:sel.1">L_meet</a> of <font color="Maroon" title="c2">L2</font></span><a href="filter_1.html#K6" title="FILTER_1:func.6">:|</a></span> #) as  non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="lattices.html#L3" title="LATTICES:struct.3">LattStr</a>  ;<br/>
<a NAME="E2:52_1_1"/><span class="lab"><font color="Green" title="E34">A1</font></span>: 
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c2">L2</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c2">L2</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T40" title="LATTICE2:th.40">LATTICE2:40</a></span>;<br/>
<a NAME="E3:52_1_1"/>
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">L1</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">L1</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T40" title="LATTICE2:th.40">LATTICE2:40</a></span>;<br/>
<a NAME="E4:52_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E35">A2</font></span>: 
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c3">LL</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c3">LL</font>)
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:52_1_1"><span class="lab"><font color="Green" title="E34">A1</font></span></a>, <a class="ref" href="filter_1.html#T31" target="_self" title="FILTER_1:th.31">Th31</a></span>;<br/>
<a NAME="E5:52_1_1"/><span class="lab"><font color="Green" title="E36">A3</font></span>: 
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c3">LL</font>) is  <a href="binop_1.html#V2" title="BINOP_1:attr.2">associative</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T24" target="_self" title="FILTER_1:th.24">Th24</a></span>;<br/>
<a NAME="E6:52_1_1"/><span class="lab"><font color="Green" title="E37">A4</font></span>: 
<font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c2">L2</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c2">L2</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T41" title="LATTICE2:th.41">LATTICE2:41</a></span>;<br/>
<a NAME="E7:52_1_1"/>
<font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c1">L1</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c1">L1</font>)
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="lattice2.html#T41" title="LATTICE2:th.41">LATTICE2:41</a></span>;<br/>
<a NAME="E8:52_1_1"/><span class="kw">then </span><span class="lab"><font color="Green" title="E38">A5</font></span>: 
<font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c3">LL</font>) <a href="lattice2.html#R1" title="LATTICE2:pred.1">absorbs</a> <font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c3">LL</font>)
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:52_1_1"><span class="lab"><font color="Green" title="E37">A4</font></span></a>, <a class="ref" href="filter_1.html#T31" target="_self" title="FILTER_1:th.31">Th31</a></span>;<br/>
<a NAME="E9:52_1_1"/><span class="lab"><font color="Green" title="E39">A6</font></span>: 
<font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c3">LL</font>) is  <a href="binop_1.html#V1" title="BINOP_1:attr.1">commutative</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T23" target="_self" title="FILTER_1:th.23">Th23</a></span>;<br/>
<a NAME="E10:52_1_1"/><span class="lab"><font color="Green" title="E40">A7</font></span>: 
<font color="Maroon">H<sub>2</sub></font>(<font color="Maroon" title="c3">LL</font>) is  <a href="binop_1.html#V2" title="BINOP_1:attr.2">associative</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T24" target="_self" title="FILTER_1:th.24">Th24</a></span>;<br/>
<a NAME="E11:52_1_1"/>
<font color="Maroon">H<sub>1</sub></font>(<font color="Maroon" title="c3">LL</font>) is  <a href="binop_1.html#V1" title="BINOP_1:attr.1">commutative</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="filter_1.html#T23" target="_self" title="FILTER_1:th.23">Th23</a></span>;<br/>
<span class="kw">hence </span><a NAME="E12:52_1_1"/>
<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#V10" title="LATTICES:attr.10">Lattice-like</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:52_1_1"><span class="lab"><font color="Green" title="E36">A3</font></span></a>, <a class="txt" href="#E9:52_1_1"><span class="lab"><font color="Green" title="E39">A6</font></span></a>, <a class="txt" href="#E10:52_1_1"><span class="lab"><font color="Green" title="E40">A7</font></span></a>, <a class="txt" href="#E4:52_1_1"><span class="lab"><font color="Green" title="E35">A2</font></span></a>, <a class="txt" href="#E8:52_1_1"><span class="lab"><font color="Green" title="E38">A5</font></span></a>, <a class="ref" href="lattice2.html#T17" title="LATTICE2:th.17">LATTICE2:17</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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