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<b>let </b><font color="Maroon" title="c1">seq</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>

<a NAME="E1:15"/>
 <a href="partfun3.html#K6" title="PARTFUN3:func.6">-</a> <span class="p1">(<span class="default"><a href="partfun3.html#K6" title="PARTFUN3:func.6">-</a> <font color="Maroon" title="c1">seq</font></span>)</span> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c1">seq</font>
 
<b>by </b><i><a class="ref" href="seq_1.html#T36" title="SEQ_1:th.36">SEQ_1:36</a></i>;<br/>
<b>hence </b><a NAME="E2:15"/>
( <font color="Maroon" title="c1">seq</font> is <a href="seq_2.html#V2" title="SEQ_2:attr.2">bounded_below</a> iff  <a href="partfun3.html#K6" title="PARTFUN3:func.6">-</a> <font color="Maroon" title="c1">seq</font> is <a href="seq_2.html#V1" title="SEQ_2:attr.1">bounded_above</a> )
 <b>by </b><i><a class="ref" href="rinfsup1.html#T11" target="_self" title="RINFSUP1:th.11">Th11</a></i>;<br/>


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