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<b>let </b><font color="Maroon">X</font> be   <a href="csspace.html#NM1">ComplexUnitarySpace</a>;<br/><b>let </b><font color="Maroon">seq</font> be   <a href="normsp_1.html#NM2">sequence</a> of <font color="Maroon">X</font>;<br/>



<b>assume </b><b>that </b><br/><a NAME="E1:120"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">X</font> is <a href="clvect_2.html#V4" target="_self">complete</a>
 <b>and </b><br/><a NAME="E2:120"/><i><font color="Green">E44</font></i>: 
<font color="Maroon">seq</font> is <a href="clvect_2.html#V2" target="_self">Cauchy</a>
 ;<br/>

<a NAME="E3:120"/>
<font color="Maroon">seq</font> is <a href="clvect_2.html#V1" target="_self">convergent</a>
 
<b>by </b><i><a class="ref" href="clvect_2.html#T4" target="_self">Th4</a>, <a class="ref" href="clvect_2.html#T5" target="_self">Th5</a>, </i>;<br/>
<b>hence </b><a NAME="E4:120"/>
<font color="Maroon">seq</font> is <a href="clvect_2.html#V3" target="_self">bounded</a>
 <b>by </b><i/>;<br/>


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