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<b>let </b><font color="Maroon">X</font> be   <a href="bhsp_1.html#NM1">RealUnitarySpace</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/>



<a NAME="E1:6"/>
 <a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="normsp_1.html#K6">*</a> <font color="Maroon">seq</font></span>)</span> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="normsp_1.html#K6">*</a> <span class="p1">(<span class="default"><a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <font color="Maroon">seq</font></span>)</span>
 
<b>by </b><i/>;<br/>
<a NAME="E2:6"/><b>then </b>
 <a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <span class="p1">(<span class="default"><a href="bhsp_1.html#K6">-</a> <font color="Maroon">seq</font></span>)</span> <a href="funct_2.html#R2">=</a> <span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="normsp_1.html#K6">*</a> <span class="p1">(<span class="default"><a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <font color="Maroon">seq</font></span>)</span>
 
<b>by </b><i><a class="ref" href="bhsp_1.html#T77">BHSP_1:77</a></i>;<br/>
<b>hence </b><a NAME="E3:6"/>
 <a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <span class="p1">(<span class="default"><a href="bhsp_1.html#K6">-</a> <font color="Maroon">seq</font></span>)</span> <a href="funct_2.html#R2">=</a>  <a href="bhsp_1.html#K6">-</a> <span class="p1">(<span class="default"><a href="bhsp_4.html#K1" target="_self">Partial_Sums</a> <font color="Maroon">seq</font></span>)</span>
 <b>by </b><i><a class="ref" href="bhsp_1.html#T77">BHSP_1:77</a></i>;<br/>


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