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<b>let </b><font color="Maroon">L</font> be   <a href="lattices.html#NM8">B_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>assume </b><a NAME="E1:34"/><i><font color="Green">E12</font></i>: 
<font color="Maroon">X</font> <a href="lattices.html#R3">[=</a> <font color="Maroon">Y</font>
 ;<br/>

<font color="Maroon">Y</font> = 
<font color="Maroon">Y</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><a href="lattices.html#K6">Top</a> <font color="Maroon">L</font></span>)</span>
<b>by </b><i><a class="ref" href="lattices.html#T43">LATTICES:43</a></i>
<br/>.= 
<font color="Maroon">Y</font> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">X</font> <a href="lattices.html#K3">"\/"</a> <span class="p2">(<span class="default"><font color="Maroon">X</font> <a href="lattices.html#K7">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="lattices.html#T48">LATTICES:48</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="lattices.html#K4">"/\"</a> <font color="Maroon">X</font></span>)</span> <a href="lattices.html#K3">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="lattices.html#K4">"/\"</a> <span class="p2">(<span class="default"><font color="Maroon">X</font> <a href="lattices.html#K7">`</a> </span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="lattices.html#D11">LATTICES:def 11</a></i>
<br/>.= 
<font color="Maroon">X</font> <a href="lattices.html#K3">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="boolealg.html#K1" target="_self">\</a> <font color="Maroon">X</font></span>)</span>
<b>by </b><i><a class="txt" href="boolealg.html#E5"><i><font color="Green">Lemma11</font></i></a>, <a class="ref" href="lattices.html#T21">LATTICES:21</a></i>
;<br/>
<b>hence </b><a NAME="E3:34"/>
<font color="Maroon">Y</font> <a href="boolealg.html#R1" target="_self">=</a> <font color="Maroon">X</font> <a href="lattices.html#K3">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">Y</font> <a href="boolealg.html#K1" target="_self">\</a> <font color="Maroon">X</font></span>)</span>
 ;<br/>


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