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<b>let </b><font color="Maroon">h</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">x</font> be   <a href="real_1.html#NM1">Real</a>;<br/><b>let </b><font color="Maroon">f</font> be   <a href="funct_2.html#NM1">Function</a> of  <a href="numbers.html#K1">REAL</a> , <a href="numbers.html#K1">REAL</a> ;<br/>





<b>set </b><font color="Maroon">f2</font> =  <a href="diff_1.html#K2" target="_self">Shift</a> <font color="Maroon">f</font>,<span class="p1">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">h</font></span>)</span>;<br/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="diff_1.html#NK12" target="_self">bdif</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span> <a href="seqfunc.html#K1">.</a> 1</span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="diff_1.html#NK12" target="_self">bdif</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span> <a href="seqfunc.html#K1">.</a> <span class="p2">(<span class="default">0 <a href="nat_1.html#K1">+</a> 1</span>)</span></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font>

<br/>.= 
<span class="p1">(<span class="default"><a href="diff_1.html#K5" target="_self">bD</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="diff_1.html#NK12" target="_self">bdif</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span> <a href="seqfunc.html#K1">.</a> 0</span>)</span>,<font color="Maroon">h</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><a href="diff_1.html#K6" target="_self">bD</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K5">-</a> <font color="Maroon">h</font></span>)</span></span>)</span>
<b>by </b><i/>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <span class="p2">(<span class="default"><font color="Maroon">x</font> <a href="real_1.html#K3">+</a> <span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">h</font></span>)</span></span>)</span></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="diff_1.html#K2" target="_self">Shift</a> <font color="Maroon">f</font>,<span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">h</font></span>)</span></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span>
<b>by </b><i/>
;<br/>
<b>hence </b><a NAME="E2:30"/>
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="diff_1.html#NK12" target="_self">bdif</a> <font color="Maroon">f</font>,<font color="Maroon">h</font></span>)</span> <a href="seqfunc.html#K1">.</a> 1</span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span> <a href="real_1.html#K5">-</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="diff_1.html#K2" target="_self">Shift</a> <font color="Maroon">f</font>,<span class="p3">(<span class="default"><a href="real_1.html#K1">-</a> <font color="Maroon">h</font></span>)</span></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">x</font></span>)</span>
 ;<br/>


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