<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon" title="c1">L</font> be   <a href="lattices.html#NM4" title="LATTICES:NM.4">0_Lattice</a>;<br/><b>let </b><font color="Maroon" title="c2">X</font>, <font color="Maroon" title="c3">Y</font>, <font color="Maroon" title="c4">Z</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c1">L</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:17"/><i><font color="Green" title="E7">A1</font></i>: 
<font color="Maroon" title="c2">X</font> <a href="boolealg.html#R3" title="BOOLEALG:pred.3">meets</a> <font color="Maroon" title="c3">Y</font>
 <b>and </b><br/><a NAME="E2:17"/><i><font color="Green" title="E8">A2</font></i>: 
<font color="Maroon" title="c3">Y</font> <a href="lattices.html#R3" title="LATTICES:pred.3">[=</a> <font color="Maroon" title="c4">Z</font>
 ;<br/>

<a NAME="E3:17"/>
<font color="Maroon" title="c2">X</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Maroon" title="c3">Y</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="txt" href="boolealg.html#E1:17"><i><font color="Green" title="E7">A1</font></i></a>, <a class="ref" href="boolealg.html#D4" target="_self" title="BOOLEALG:def.4">Def4</a></i>;<br/>
<a NAME="E4:17"/><b>then </b>
<font color="Maroon" title="c2">X</font> <a href="lattices.html#K4" title="LATTICES:func.4">"/\"</a> <font color="Maroon" title="c4">Z</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="lattices.html#K5" title="LATTICES:func.5">Bottom</a> <font color="Maroon" title="c1">L</font>
 
<b>by </b><i><a class="txt" href="boolealg.html#E2:17"><i><font color="Green" title="E8">A2</font></i></a>, <a class="ref" href="boolealg.html#T25" target="_self" title="BOOLEALG:th.25">Th25</a>, <a class="ref" href="lattices.html#T27" title="LATTICES:th.27">LATTICES:27</a></i>;<br/>
<b>hence </b><a NAME="E5:17"/>
<font color="Maroon" title="c2">X</font> <a href="boolealg.html#R3" title="BOOLEALG:pred.3">meets</a> <font color="Maroon" title="c4">Z</font>
 <b>by </b><i><a class="ref" href="boolealg.html#D4" target="_self" title="BOOLEALG:def.4">Def4</a></i>;<br/>


</div>
