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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="subset_1.html#NM2">Subset</a> of <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="real_1.html#NM1">Real</a>;<br/>



<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="measure6.html#K6">+</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="measure6.html#K6">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="real_1.html#K3">+</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="measure6.html#K6">+</a> <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="pscomp_1.html#T22" target="_self">Th22</a></i>
<br/>.= 
<font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="pscomp_1.html#T21" target="_self">Th21</a></i>
;<br/>
<b>hence </b><a NAME="E2:37"/>
( <font color="Maroon">c<sub>1</sub></font> is <a href="seq_4.html#V1">bounded_above</a> iff <font color="Maroon">c<sub>2</sub></font> <a href="measure6.html#K6">+</a> <font color="Maroon">c<sub>1</sub></font> is <a href="seq_4.html#V1">bounded_above</a> )
 <b>by </b><i><a class="txt" href="pscomp_1.html#E34"><i><font color="Green">Lemma24</font></i></a></i>;<br/>


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