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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="lattices.html#NM8">B_Lattice</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>





<b>thus </b><a NAME="E1:32"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattices.html#K7">`</a>  <a href="lattices.html#R3">[=</a> <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K7">`</a> 
 <div><a class="txt" onclick="hs2(this)" href="javascript:()" title="32_1"><b>proof </b></a><div class="add">

<a NAME="E1:32_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattices.html#K7">`</a>  <a href="boolealg.html#R1" target="_self">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K7">`</a> </span>)</span> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7">`</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="lattices.html#T51">LATTICES:51</a></i>;<br/>
<b>hence </b><a NAME="E2:32_1"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattices.html#K7">`</a>  <a href="lattices.html#R3">[=</a> <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K7">`</a> 
 <b>by </b><i><a class="ref" href="lattices.html#T23">LATTICES:23</a></i>;<br/>


</div><b>end;</b></div>

<a NAME="E2:32"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattices.html#K7">`</a>  <a href="boolealg.html#R1" target="_self">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7">`</a> </span>)</span> <a href="lattices.html#K4">"/\"</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K7">`</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="lattices.html#T51">LATTICES:51</a></i>;<br/>
<b>hence </b><a NAME="E3:32"/>
<span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#K3">"\/"</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="lattices.html#K7">`</a>  <a href="lattices.html#R3">[=</a> <font color="Maroon">c<sub>3</sub></font> <a href="lattices.html#K7">`</a> 
 <b>by </b><i><a class="ref" href="lattices.html#T23">LATTICES:23</a></i>;<br/>


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