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

<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be    <a href="subset_1.html#M1">Element</a> of  <a href="arytm_3.html#K7" target="_self">RAT+</a> ;<br/>

<b>assume </b><a NAME="E1:106"/><i><font color="Green">E85</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>6</sub></font>
 ;<br/>

<b>assume </b><a NAME="E2:106"/>
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>4</sub></font> )
 ;<br/>

<a NAME="E3:106"/><b>then </b>
( <font color="Maroon">c<sub>5</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#NR4" target="_self">&lt;</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>6</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>6</sub></font> <a href="arytm_3.html#R3" target="_self">&lt;='</a> <font color="Maroon">c<sub>3</sub></font> <a href="arytm_3.html#K11" target="_self">+</a> <font color="Maroon">c<sub>4</sub></font> )
 
<b>by </b><i><a class="ref" href="arytm_3.html#T83" target="_self">Th83</a></i>;<br/>
<b>hence </b><a NAME="E4:106"/>
contradiction
 <b>by </b><i><a class="txt" href="arytm_3.html#E1:106"><i><font color="Green">E85</font></i></a></i>;<br/>


</div>
