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

<b>consider </b><font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font><b> such that </b><br/><a NAME="E2:50_1_1"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="ref" href="realset2.html#D7">REALSET2:def 7</a></i>;<br/>
<a NAME="E3:50_1_1"/>
ex <font color="Olive">b<sub>1</sub></font> being   <a href="filter_0.html#M1">Filter</a> of <font color="Maroon">c<sub>1</sub></font> st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="openlatt.html#K7" target="_self">F_primeSet</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="txt" href="openlatt.html#E2:50_1_1"><i><font color="Green">E41</font></i></a>, <a class="ref" href="openlatt.html#T23" target="_self">Th23</a></i>;<br/>
<b>hence </b><a NAME="E4:50_1_1"/>
not  <a href="openlatt.html#K7" target="_self">F_primeSet</a> <font color="Maroon">c<sub>1</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


</div>
