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

<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="lattice3.html#V3">complete</a> <a href="waybel_2.html#V2">meet-continuous</a> <a href="waybel19.html#V2">Lawson</a> <a href="waybel_9.html#NM1">TopLattice</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<a NAME="E1:35"/>
for <font color="Olive">b<sub>1</sub></font> being non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>1</sub></font> holds <font color="Maroon">c<sub>2</sub></font> <a href="waybel_1.html#K4">"/\"</a>  <a href="waybel_0.html#R3">preserves_inf_of</a> <font color="Olive">b<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="yellow13.html#T11">YELLOW13:11</a></i>;<br/>
<b>hence </b><a NAME="E2:35"/>
<font color="Maroon">c<sub>2</sub></font> <a href="waybel_1.html#K4">"/\"</a>  is <a href="pre_topc.html#V5">continuous</a>
 <b>by </b><i><a class="ref" href="waybel21.html#T45">WAYBEL21:45</a></i>;<br/>


</div>
