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

<b>reconsider </b><font color="Maroon" title="c1">N</font> =  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a>  as   <a href="supinf_2.html#NM1" title="SUPINF_2:NM.1">Denum_Set_of_R_EAL</a> <b>by </b><i><a class="ref" href="supinf_2.html#D14" target="_self" title="SUPINF_2:def.14">Def14</a>, <a class="ref" href="supinf_2.html#T52" target="_self" title="SUPINF_2:th.52">Th52</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c1">N</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">N</font> is <a href="supinf_2.html#V5" title="SUPINF_2:attr.5">nonnegative</a></span><br/>

<b>thus </b><a NAME="E2:76_1_1"/>
for <font color="Olive" title="b1">x</font> being  <a href="supinf_1.html#NM3" title="SUPINF_1:NM.3">R_eal</a>  st <font color="Olive" title="b1">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">N</font> holds <br/> <a href="supinf_2.html#K1" title="SUPINF_2:func.1">0.</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">x</font>
 <b>by </b><i><a class="ref" href="supinf_2.html#T21" target="_self" title="SUPINF_2:th.21">Th21</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="supinf_2.html#D15" target="_self" title="SUPINF_2:def.15">SUPINF_2:def 15</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
