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<b>set </b><font color="Maroon">c<sub>2</sub></font> =  <a href="asympt_1.html#K5" target="_self">seq_n!</a> <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>take </b>
0
; <i><font color="Red">:: according to </font></i><a class="ref" href="asympt_0.html#D6">ASYMPT_0:def 6</a><br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E1:47_1_1"/>
<font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 ;<br/>

<a NAME="E2:47_1_1"/>
<span class="p1">(<span class="default"><a href="asympt_1.html#K5" target="_self">seq_n!</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>3</sub></font> <a href="nat_1.html#K1">+</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="newton.html#K12">!</a> 
 
<b>by </b><i><a class="ref" href="asympt_1.html#D5" target="_self">Def5</a></i>;<br/>
<b>hence </b><a NAME="E3:47_1_1"/>
<span class="p1">(<span class="default"><a href="asympt_1.html#K5" target="_self">seq_n!</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> <a href="seq_1.html#K2">.</a> <font color="Maroon">c<sub>3</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="ref" href="newton.html#T23">NEWTON:23</a></i>;<br/>


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