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<b>let </b><font color="Maroon" title="c1">A</font> be   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/>

<b>assume </b><a NAME="E1:7_1_1"/>
<font color="Maroon" title="c1">A</font> is <a href="integra1.html#V1" title="INTEGRA1:attr.1">closed-interval</a>
 ;<br/>

<b>hence </b><a NAME="E2:7_1_1"/>
( <font color="Maroon" title="c1">A</font> is <a href="seq_4.html#V2" title="SEQ_4:attr.2">bounded_below</a> &amp; <font color="Maroon" title="c1">A</font> is <a href="seq_4.html#V1" title="SEQ_4:attr.1">bounded_above</a> )
 <b>by </b><i><a class="ref" href="integra1.html#T3" target="_self" title="INTEGRA1:th.3">Th3</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="seq_4.html#D3" title="SEQ_4:def.3">SEQ_4:def 3</a><br/>


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