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<b>consider </b><font color="Maroon" title="c1">u</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of  <a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> ;<br/>
<b>take </b><font color="Maroon" title="c2">GGj</font> =  <a href="lattices.html#G2" title="LATTICES:aggr.2">\/-SemiLattStr</a>(# <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> </span>)</span>,<font color="Maroon" title="c1">u</font> #);<br/>

<a NAME="E2:18_1_1"/><i><font color="Green" title="E12">A1</font></i>: 
for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">GGj</font> holds  <font color="Olive" title="b1">x</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">y</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Olive" title="b1">x</font>
 
<b>by </b><i><a class="txt" href="lattices.html#E5"><i><font color="Green" title="E3">Lm2</font></i></a></i>;<br/>
<a NAME="E3:18_1_1"/>
for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">z</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c2">GGj</font> holds  <font color="Olive" title="b1">x</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">y</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Olive" title="b3">z</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">x</font> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Olive" title="b2">y</font></span>)</span> <a href="lattices.html#K1" title="LATTICES:func.1">"\/"</a> <font color="Olive" title="b3">z</font>
 
<b>by </b><i><a class="txt" href="lattices.html#E5"><i><font color="Green" title="E3">Lm2</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:18_1_1"/>
( <font color="Maroon" title="c2">GGj</font> is <a href="lattices.html#V2" title="LATTICES:attr.2">strict</a> &amp; <font color="Maroon" title="c2">GGj</font> is <a href="lattices.html#V4" title="LATTICES:attr.4">join-commutative</a> &amp; <font color="Maroon" title="c2">GGj</font> is <a href="lattices.html#V5" title="LATTICES:attr.5">join-associative</a> )
 <b>by </b><i><a class="ref" href="lattices.html#D4" target="_self" title="LATTICES:def.4">Def4</a>, <a class="ref" href="lattices.html#D5" target="_self" title="LATTICES:def.5">Def5</a>, <a class="txt" href="lattices.html#E2:18_1_1"><i><font color="Green" title="E12">A1</font></i></a></i>;<br/>


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