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

<b>let </b><font color="Maroon" title="c1">R</font> be   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>;<br/><b>let </b><font color="Maroon" title="c2">C</font> be    <a href="rewrite1.html#M2" title="REWRITE1:mode.2">Completion</a> of <font color="Maroon" title="c1">R</font>;<br/><b>let </b><font color="Maroon" title="c3">a</font>, <font color="Maroon" title="c4">b</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="rewrite1.html#D26" target="_self" title="REWRITE1:def.26">REWRITE1:def 26</a><br/>





<a NAME="E1:97"/>
( <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="rewrite1.html#R2" title="REWRITE1:pred.2">are_convertible_wrt</a> <font color="Maroon" title="c1">R</font> iff <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="rewrite1.html#R5" title="REWRITE1:pred.5">are_convergent_wrt</a> <font color="Maroon" title="c2">C</font> )
 
<b>by </b><i><a class="ref" href="rewrite1.html#D28" target="_self" title="REWRITE1:def.28">Def28</a></i>;<br/>
<b>hence </b><a NAME="E2:97"/>
( <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="rewrite1.html#R2" title="REWRITE1:pred.2">are_convertible_wrt</a> <font color="Maroon" title="c1">R</font> iff <font color="Maroon" title="c3">a</font>,<font color="Maroon" title="c4">b</font> <a href="rewrite1.html#R2" title="REWRITE1:pred.2">are_convertible_wrt</a> <font color="Maroon" title="c2">C</font> )
 <b>by </b><i><a class="ref" href="rewrite1.html#D23" target="_self" title="REWRITE1:def.23">Def23</a>, <a class="ref" href="rewrite1.html#T38" target="_self" title="REWRITE1:th.38">Th38</a></i>;<br/>


</div>
