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

<b>let </b><font color="Maroon">R</font> be   <a href="relat_1.html#NM1">Relation</a>;<br/><b>let </b><font color="Maroon">a</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">b</font> be    <a href="hidden.html#M1">set</a> ;<br/>



<a NAME="E1:47"/>
( <font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Maroon">a</font>,<font color="Maroon">a</font> &amp; <font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Maroon">b</font>,<font color="Maroon">b</font> )
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E2:47"/>
( <font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Maroon">a</font>,<font color="Maroon">b</font> implies ( <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="rewrite1.html#R5" target="_self">are_convergent_wrt</a> <font color="Maroon">R</font> &amp; <font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="rewrite1.html#R6" target="_self">are_divergent_wrt</a> <font color="Maroon">R</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">a</font> <a href="rewrite1.html#R5" target="_self">are_convergent_wrt</a> <font color="Maroon">R</font> &amp; <font color="Maroon">b</font>,<font color="Maroon">a</font> <a href="rewrite1.html#R6" target="_self">are_divergent_wrt</a> <font color="Maroon">R</font> ) )
 <b>by </b><i>, </i>;<br/>


</div>
