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

<b>let </b><font color="Maroon">f</font> be  <a href="asympt_0.html#V4" target="_self">eventually-positive</a> <a href="seq_1.html#NM1">Real_Sequence</a>, <font color="Maroon">g</font> be  <a href="asympt_0.html#V4" target="_self">eventually-positive</a> <a href="seq_1.html#NM1">Real_Sequence</a>;<br/>

<b>assume </b><a NAME="E1:61"/>
<font color="Maroon">f</font> <a href="seq_1.html#K19">/"</a> <font color="Maroon">g</font> is <a href="limfunc1.html#V1">divergent_to+infty</a>
 ;<br/>

<a NAME="E2:61"/><b>then </b><i><font color="Green">E36</font></i>: 
( not <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K9" target="_self">Big_Oh</a> <font color="Maroon">g</font> &amp; <font color="Maroon">g</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K9" target="_self">Big_Oh</a> <font color="Maroon">f</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E3:61"/>
not <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K11" target="_self">Big_Theta</a> <font color="Maroon">g</font>
 
<b>by </b><i>, <a class="ref" href="xboole_0.html#D3">XBOOLE_0:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:61"/>
( <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K10" target="_self">Big_Omega</a> <font color="Maroon">g</font> &amp; not <font color="Maroon">f</font> <a href="hidden.html#R2">in</a>  <a href="asympt_0.html#K11" target="_self">Big_Theta</a> <font color="Maroon">g</font> )
 <b>by </b><i>, </i>;<br/>


</div>
