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

<b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>, <a href="numbers.html#K1">REAL</a> , <font color="Maroon">g</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>, <a href="numbers.html#K1">REAL</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:6_1_2"/><i><font color="Green">E34</font></i>: 
for <font color="Olive">x</font> being   <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font> holds  <font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K12">|.</a><span class="default"><font color="Olive">x</font></span><a href="euclid.html#K12">.|</a></span>
 <b>and </b><br/><a NAME="E2:6_1_2"/><i><font color="Green">E53</font></i>: 
for <font color="Olive">x</font> being   <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font> holds  <font color="Maroon">g</font> <a href="seq_1.html#K2">.</a> <font color="Olive">x</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="euclid.html#K12">|.</a><span class="default"><font color="Olive">x</font></span><a href="euclid.html#K12">.|</a></span>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="6_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">x</font> be    <a href="finseq_2.html#M2">Element</a> of  <a href="euclid.html#K1">REAL</a> <font color="Maroon">n</font>;<br/><b>thus </b><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> = 
<span class="p1"><a href="euclid.html#K12">|.</a><span class="default"><font color="Maroon">x</font></span><a href="euclid.html#K12">.|</a></span>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">g</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:6_1_2"/>
<font color="Maroon">f</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


</div>
