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<a NAME="E1:84_1_1"/>
 <a href="setlim_1.html#K7" target="_self">lim_sup</a> <font color="Maroon">S</font> <a href="hidden.html#R1">=</a>  <a href="setlim_1.html#K6" target="_self">lim_inf</a> <font color="Maroon">S</font>
 
<b>by </b><i><a class="ref" href="setlim_1.html#T13" target="_self">Th13</a>, <a class="ref" href="setlim_1.html#T12" target="_self">Th12</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">Element</a> of <font color="Maroon">Si</font> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="setlim_1.html#K7" target="_self">lim_sup</a> <font color="Maroon">S</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="setlim_1.html#K6" target="_self">lim_inf</a> <font color="Maroon">S</font> )
 ;<br/>


</div>
