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

<b>thus </b><a NAME="E1:70_1_1"/>
 <a href="subset_1.html#K1">{}</a> <a href="numbers.html#K1">REAL</a>  is <a href="seq_4.html#V2">bounded_below</a>
  <i><font color="Red">:: according to </font></i><a class="ref" href="seq_4.html#D3">SEQ_4:def 3</a><div><a class="txt" onclick="hs2(this)" href="javascript:()" title="70_1_1_1"><b>proof </b></a><div class="add">

<b>take </b>
0
; <i><font color="Red">:: according to </font></i><a class="ref" href="seq_4.html#D2">SEQ_4:def 2</a><br/>

<b>thus </b><a NAME="E1:70_1_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  holds <br/>(  not <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="subset_1.html#K1">{}</a> <a href="numbers.html#K1">REAL</a>  or  not <font color="Olive">b<sub>1</sub></font> <a href="xxreal_0.html#R1">&lt;</a> 0 )
 ;<br/>


</div><b>end;</b></div>

<b>take </b>
0
; <i><font color="Red">:: according to </font></i><a class="ref" href="seq_4.html#D1">SEQ_4:def 1</a><br/>

<b>thus </b><a NAME="E2:70_1_1"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  holds <br/>(  not <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="subset_1.html#K1">{}</a> <a href="numbers.html#K1">REAL</a>  or  not 0 <a href="xxreal_0.html#R1">&lt;</a> <font color="Olive">b<sub>1</sub></font> )
 ;<br/>


</div>
