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

<b>assume </b><a NAME="E1:76_3_1"/>
<font color="Maroon">R</font> is <a href="rewrite1.html#V6" target="_self">subcommutative</a>
 ;<br/>

<a NAME="E2:76_3_1"/><b>then </b>
for <font color="Olive">a</font>, <font color="Olive">b</font>, <font color="Olive">c</font> being   <a href="hidden.html#M1">set</a>   st <font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Olive">a</font>,<font color="Olive">b</font> &amp; <span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Olive">a</font>,<font color="Olive">c</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <font color="Maroon">R</font> holds <br/><font color="Olive">b</font>,<font color="Olive">c</font> <a href="rewrite1.html#R5" target="_self">are_convergent_wrt</a> <font color="Maroon">R</font>
 
<b>by </b><i><a class="ref" href="rewrite1.html#T11" target="_self">Th11</a></i>;<br/>
<b>hence </b><a NAME="E3:76_3_1"/>
<font color="Maroon">R</font> is <a href="rewrite1.html#V7" target="_self">confluent</a>
 <b>by </b><i/>;<br/>


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