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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_5_1"/><i><font color="Green">E47</font></i>: 
for <font color="Olive">a</font>, <font color="Olive">b</font> being   <a href="hidden.html#M1">set</a>   st <font color="Olive">a</font> <a href="rewrite1.html#R3" target="_self">is_a_normal_form_wrt</a> <font color="Maroon">R</font> &amp; <font color="Olive">a</font>,<font color="Olive">b</font> <a href="rewrite1.html#R2" target="_self">are_convertible_wrt</a> <font color="Maroon">R</font> holds <br/><font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Olive">b</font>,<font color="Olive">a</font>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="rewrite1.html#D20" target="_self">REWRITE1:def 20</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> ; <i><font color="Red">:: according to </font></i><a class="ref" href="rewrite1.html#D19" target="_self">REWRITE1:def 19</a><br/>

<b>assume </b><b>that </b><br/><a NAME="E2:76_5_1"/><i><font color="Green">E48</font></i>: 
( <font color="Maroon">a</font> <a href="rewrite1.html#R3" target="_self">is_a_normal_form_wrt</a> <font color="Maroon">R</font> &amp; <font color="Maroon">b</font> <a href="rewrite1.html#R3" target="_self">is_a_normal_form_wrt</a> <font color="Maroon">R</font> )
 <b>and </b><br/><a NAME="E3:76_5_1"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="rewrite1.html#R2" target="_self">are_convertible_wrt</a> <font color="Maroon">R</font>
 ;<br/>

<a NAME="E4:76_5_1"/>
<font color="Maroon">R</font> <a href="rewrite1.html#R1" target="_self">reduces</a> <font color="Maroon">b</font>,<font color="Maroon">a</font>
 
<b>by </b><i><a class="ref" href="rewrite1.html#D3" target="_self">Def3</a>, <a class="ref" href="rewrite1.html#D4" target="_self">Def4</a>, <a class="ref" href="rewrite1.html#T12" target="_self">Th12</a></i>;<br/>
<b>hence </b><a NAME="E5:76_5_1"/>
<font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 <b>by </b><i><a class="ref" href="rewrite1.html#D4" target="_self">Def4</a>, </i>;<br/>


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