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

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be  <a href="ordinal1.html#V7">natural</a> <a href="ordinal1.html#NM2">Ordinal</a>;<br/>



<b>assume </b><a NAME="E1:25"/><i><font color="Green">E17</font></i>: 
 <a href="xboole_0.html#K1">{}</a>  <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<b>given </b><font color="Maroon">c<sub>3</sub></font> being   <a href="ordinal1.html#NM2">Ordinal</a><b> such that </b><a NAME="E2:25"/><i><font color="Green">E18</font></i>: 
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> <a href="ordinal2.html#K11">*^</a> <font color="Maroon">c<sub>3</sub></font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="arytm_3.html#D3" target="_self">ARYTM_3:def 3</a><br/>

<a NAME="E3:25"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="txt" href="arytm_3.html#E1:25"><i><font color="Green">E17</font></i></a>, <a class="txt" href="arytm_3.html#E2:25"><i><font color="Green">E18</font></i></a>, <a class="ref" href="ordinal2.html#T55">ORDINAL2:55</a></i>;<br/>
<b>hence </b><a NAME="E4:25"/>
<font color="Maroon">c<sub>1</sub></font> <a href="ordinal1.html#R1">c=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="arytm_3.html#E2:25"><i><font color="Green">E18</font></i></a>, <a class="ref" href="ordinal3.html#T39">ORDINAL3:39</a></i>;<br/>


</div>
