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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="normsp_1.html#NM2">sequence</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>





<b>assume </b><a NAME="E1:57"/><i><font color="Green">E23</font></i>: 
<font color="Maroon">c<sub>2</sub></font> is <a href="bhsp_3.html#V2" target="_self">bounded</a>
 ;<br/>

<a NAME="E2:57"/>
<font color="Maroon">c<sub>2</sub></font> <a href="bhsp_3.html#K2" target="_self">^\</a> <font color="Maroon">c<sub>3</sub></font> is    <a href="bhsp_3.html#M1" target="_self">subsequence</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="bhsp_3.html#T43" target="_self">Th43</a></i>;<br/>
<b>hence </b><a NAME="E3:57"/>
<font color="Maroon">c<sub>2</sub></font> <a href="bhsp_3.html#K2" target="_self">^\</a> <font color="Maroon">c<sub>3</sub></font> is <a href="bhsp_3.html#V2" target="_self">bounded</a>
 <b>by </b><i><a class="txt" href="bhsp_3.html#E1:57"><i><font color="Green">E23</font></i></a>, <a class="ref" href="bhsp_3.html#T31" target="_self">Th31</a></i>;<br/>


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