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<b>let </b><font color="Maroon">L</font> be   <a href="lattices.html#NM4">0_Lattice</a>;<br/><b>let </b><font color="Maroon">X</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">Y</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/><b>let </b><font color="Maroon">Z</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">L</font>;<br/>







<b>assume </b><b>that </b><br/><a NAME="E1:18"/><i><font color="Green">E12</font></i>: 
<font color="Maroon">X</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">Y</font>
 <b>and </b><br/><a NAME="E2:18"/><i><font color="Green">E13</font></i>: 
<font color="Maroon">X</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">Z</font>
 <b>and </b><br/><a NAME="E3:18"/><i><font color="Green">E14</font></i>: 
<font color="Maroon">Y</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">Z</font> <a href="boolealg.html#R1" target="_self">=</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">L</font>
 ;<br/>

<a NAME="E4:18"/>
<font color="Maroon">X</font> <a href="lattices.html#R3">[=</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">L</font>
 
<b>by </b><i>, , <a class="ref" href="boolealg.html#D3" target="_self">Def3</a>, <a class="ref" href="filter_0.html#T7">FILTER_0:7</a></i>;<br/>
<b>hence </b><a NAME="E5:18"/>
<font color="Maroon">X</font> <a href="boolealg.html#R1" target="_self">=</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">L</font>
 <b>by </b><i/>;<br/>


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