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<b>let </b><font color="Maroon">F</font> be    <a href="finseq_1.html#M2">FinSequence</a> of  <a href="numbers.html#K1">REAL</a> ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="85_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">i</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>assume </b><a NAME="E1:85_1"/>
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a>  <a href="setwop_2.html#K3">dom</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K11" target="_self">sqr</a> <font color="Maroon">F</font></span>)</span>
 ;<br/><b>set </b><font color="Maroon">r</font> = <span class="p1">(<span class="default"><a href="rvsum_1.html#K11" target="_self">sqr</a> <font color="Maroon">F</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">i</font>;<br/><b>set </b><font color="Maroon">x</font> = <font color="Maroon">F</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">i</font>;<br/><a NAME="E2:85_1"/>
0 <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><font color="Maroon">F</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">i</font></span>)</span> <a href="square_1.html#K5">^2</a> 
 <b>by </b><i><a class="ref" href="xreal_1.html#T65">XREAL_1:65</a></i>;<br/><b>hence </b><a NAME="E3:85_1"/>
0 <a href="xxreal_0.html#R1">&lt;=</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K11" target="_self">sqr</a> <font color="Maroon">F</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">i</font>
 <b>by </b><i/>;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:85"/>
0 <a href="xxreal_0.html#R1">&lt;=</a>  <a href="rvsum_1.html#K15" target="_self">Sum</a> <span class="p1">(<span class="default"><a href="rvsum_1.html#K11" target="_self">sqr</a> <font color="Maroon">F</font></span>)</span>
 <b>by </b><i><a class="ref" href="rvsum_1.html#T17" target="_self">Th17</a></i>;<br/>


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