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

<a NAME="E1:1_1_1"/><i><font color="Green" title="E1">A1</font></i>: 
( <font color="Maroon" title="c1">h</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a>  &amp; <font color="Maroon" title="c1">h</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a> &amp;  <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <font color="Maroon" title="c1">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  )
 
<b>by </b><i><a class="ref" href="fdiff_1.html#D1" title="FDIFF_1:def.1">FDIFF_1:def 1</a></i>;<br/>
<a NAME="E2:1_1_1"/><b>then </b><i><font color="Green" title="E2">A2</font></i>: 
 <a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">h</font> <a href="seq_1.html#NR1" title="SEQ_1:NR.1">is_not_0</a> 
 
<b>by </b><i><a class="ref" href="seq_1.html#T53" title="SEQ_1:th.53">SEQ_1:53</a></i>;<br/>
<a NAME="E3:1_1_1"/><i><font color="Green" title="E3">A3</font></i>: 
 <a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">h</font> is <a href="seq_2.html#V4" title="SEQ_2:attr.4">convergent</a>
 
<b>by </b><i><a class="txt" href="fdiff_2.html#E1:1_1_1"><i><font color="Green" title="E1">A1</font></i></a>, <a class="ref" href="seq_2.html#T23" title="SEQ_2:th.23">SEQ_2:23</a></i>;<br/>
<a NAME="E4:1_1_1"/>
 <a href="seq_2.html#K2" title="SEQ_2:func.2">lim</a> <span class="p1">(<span class="default"><a href="valued_1.html#K32" title="VALUED_1:func.32">-</a> <font color="Maroon" title="c1">h</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="real_1.html#K1" title="REAL_1:func.1">-</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<b>by </b><i><a class="txt" href="fdiff_2.html#E1:1_1_1"><i><font color="Green" title="E1">A1</font></i></a>, <a class="ref" href="seq_2.html#T24" title="SEQ_2:th.24">SEQ_2:24</a></i>;<br/>
<b>hence </b><a NAME="E5:1_1_1"/>
 <a href="valued_1.html#K30" title="VALUED_1:func.30">-</a> <font color="Maroon" title="c1">h</font> is  <a href="fdiff_1.html#V1" title="FDIFF_1:attr.1">convergent_to_0</a> <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>
 <b>by </b><i><a class="txt" href="fdiff_2.html#E2:1_1_1"><i><font color="Green" title="E2">A2</font></i></a>, <a class="txt" href="fdiff_2.html#E3:1_1_1"><i><font color="Green" title="E3">A3</font></i></a>, <a class="ref" href="fdiff_1.html#D1" title="FDIFF_1:def.1">FDIFF_1:def 1</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
