<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">N</font> be    <a href="subset_1.html#M2">Element</a> of  <a href="numbers.html#K5">NAT</a> ;<br/><b>let </b><font color="Maroon">r</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">seq1</font> be   <a href="toprns_1.html#NM1">Real_Sequence</a> of <font color="Maroon">N</font>;<br/><b>let </b><font color="Maroon">seq2</font> be   <a href="toprns_1.html#NM1">Real_Sequence</a> of <font color="Maroon">N</font>;<br/>







<b>thus </b><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">seq1</font> <a href="toprns_1.html#K4" target="_self">-</a> <font color="Maroon">seq2</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq1</font></span>)</span> <a href="toprns_1.html#K1" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <span class="p2">(<span class="default"><a href="toprns_1.html#K3" target="_self">-</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq1</font></span>)</span> <a href="toprns_1.html#K1" target="_self">+</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq1</font></span>)</span> <a href="toprns_1.html#K1" target="_self">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> 1</span>)</span> <a href="real_1.html#K4">*</a> <font color="Maroon">r</font></span>)</span> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq2</font></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq1</font></span>)</span> <a href="toprns_1.html#K1" target="_self">+</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="toprns_1.html#K2" target="_self">*</a> <span class="p2">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq2</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq1</font></span>)</span> <a href="toprns_1.html#K4" target="_self">-</a> <span class="p1">(<span class="default"><font color="Maroon">r</font> <a href="toprns_1.html#K2" target="_self">*</a> <font color="Maroon">seq2</font></span>)</span>
<b>by </b><i/>
;<br/>


</div>
