<?xml version="1.0"?>
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<a NAME="E1:84_1_1"/>
 <a href="setlim_1.html#K7" title="SETLIM_1:func.7">lim_sup</a> <font color="Maroon" title="c3">S</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setlim_1.html#K6" title="SETLIM_1:func.6">lim_inf</a> <font color="Maroon" title="c3">S</font>
 
<b>by </b><i><a class="txt" href="setlim_1.html#E1:84"><i><font color="Green" title="E56">A1</font></i></a>, <a class="ref" href="setlim_1.html#D12" target="_self" title="SETLIM_1:def.12">Def12</a></i>;<br/>
<b>hence </b><a NAME="E2:84_1_1"/>
 ex <font color="Olive">b<sub>1</sub></font> being   <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of <font color="Maroon" title="c2">Si</font> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setlim_1.html#K7" title="SETLIM_1:func.7">lim_sup</a> <font color="Maroon" title="c3">S</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="setlim_1.html#K6" title="SETLIM_1:func.6">lim_inf</a> <font color="Maroon" title="c3">S</font> )
 ;<br/>


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