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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="lattices.html#V13">lower-bounded</a> <a href="lattices.html#NM1">Lattice</a>;<br/>

<b>given </b><font color="Maroon">c<sub>2</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><a NAME="E1:25"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="lattice6.html#NR2" target="_self">is-lower-neighbour-of</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<a NAME="E2:25"/><i><font color="Green">E18</font></i>: 
( <font color="Maroon">c<sub>2</sub></font> <a href="lattices.html#R3">[=</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">c<sub>1</sub></font> &amp; <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="lattices.html#K5">Bottom</a> <font color="Maroon">c<sub>1</sub></font> )
 
<b>by </b><i><a class="txt" href="lattice6.html#E1:25"><i><font color="Green">E17</font></i></a>, <a class="ref" href="lattice6.html#D5" target="_self">Def5</a></i>;<br/>
<a NAME="E3:25"/>
 <a href="lattices.html#K5">Bottom</a> <font color="Maroon">c<sub>1</sub></font> <a href="lattices.html#R3">[=</a> <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="lattices.html#T41">LATTICES:41</a></i>;<br/>
<b>hence </b><a NAME="E4:25"/>
contradiction
 <b>by </b><i><a class="txt" href="lattice6.html#E2:25"><i><font color="Green">E18</font></i></a>, <a class="ref" href="lattices.html#T26">LATTICES:26</a></i>;<br/>


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