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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:27"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="seqm_3.html#V3">non-decreasing</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V1">bounded_above</a> )
 ;<br/>

<a NAME="E2:27"/><b>then </b>
( <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V2">bounded_below</a> &amp; <font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V1">bounded_above</a> )
 
<b>by </b><i><a class="ref" href="limfunc1.html#T26">LIMFUNC1:26</a></i>;<br/>
<b>hence </b><a NAME="E3:27"/>
<font color="Maroon">c<sub>1</sub></font> is <a href="seq_2.html#V3">bounded</a>
 <b>by </b><i><a class="ref" href="seq_2.html#D5">SEQ_2:def 5</a></i>;<br/>


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