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

<b>let </b><font color="Maroon">x</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/><b>let </b><font color="Maroon">y</font> be  <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a> ;<br/>



<b>assume </b><a NAME="E1:5"/><i><font color="Green">E15</font></i>: 
( <font color="Maroon">x</font> <a href="xxreal_0.html#R1">&lt;=</a> <font color="Maroon">y</font> &amp; not <font color="Maroon">x</font> is <a href="xxreal_0.html#V3">negative</a> &amp; <font color="Maroon">y</font> is <a href="xxreal_0.html#V3">negative</a> )
 ;<br/>

<a NAME="E2:5"/><b>then </b>
<font color="Maroon">y</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 
<b>by </b><i><a class="ref" href="xxreal_0.html#D7">XXREAL_0:def 7</a></i>;<br/>
<a NAME="E3:5"/><b>then </b>
<font color="Maroon">x</font> <a href="xxreal_0.html#NR3" target="_self">&lt;</a> 0
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:5"/>
contradiction
 <b>by </b><i>, <a class="ref" href="xxreal_0.html#D7">XXREAL_0:def 7</a></i>;<br/>


</div>
