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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:10_1_1"/><i><font color="Green">E7</font></i>: 
<font color="Maroon">c<sub>1</sub></font> is <a href="asympt_0.html#V3" target="_self">positive</a>
 ;<br/>

<b>take </b>
0
; <i><font color="Red">:: according to </font></i><a class="ref" href="asympt_0.html#D6" target="_self">ASYMPT_0:def 6</a><br/>

<b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="nat_1.html#NM1">Nat</a>;<br/>

<b>assume </b><a NAME="E2:10_1_1"/>
<font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR2" target="_self">&gt;=</a> 0
 ;<br/>

<b>thus </b><a NAME="E3:10_1_1"/>
<font color="Maroon">c<sub>1</sub></font> <a href="seq_1.html#K2">.</a> <font color="Maroon">c<sub>2</sub></font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0
 <b>by </b><i><a class="txt" href="asympt_0.html#E1:10_1_1"><i><font color="Green">E7</font></i></a>, <a class="ref" href="asympt_0.html#D5" target="_self">Def5</a></i>;<br/>


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