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

<a NAME="E1:67_1_1"/>
 <a href="kurato_2.html#K5">lim_sup</a> <font color="Maroon">A1</font> <a href="hidden.html#R1">=</a>  <a href="kurato_2.html#K4">lim_inf</a> <font color="Maroon">A1</font>
 
<b>by </b><i><a class="ref" href="setlim_1.html#T8" target="_self">Th8</a>, <a class="ref" href="kurato_2.html#D7">KURATO_2:def 7</a></i>;<br/>
<b>hence </b><a NAME="E2:67_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being  <a href="subset_1.html#NM2">Subset</a> of <font color="Maroon">X</font> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="kurato_2.html#K5">lim_sup</a> <font color="Maroon">A1</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="kurato_2.html#K4">lim_inf</a> <font color="Maroon">A1</font> )
 ;<br/>


</div>
