<?xml version="1.0"?>
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<b>set </b><font color="Maroon">LS</font> =  <a href="osafree.html#K10" target="_self">LeastSort</a> <font color="Maroon">t</font>;<br/>
<b>set </b><font color="Maroon">PTA</font> =  <a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font>;<br/>
<b>reconsider </b><font color="Maroon">x1</font> = <font color="Maroon">t</font> as    <a href="subset_1.html#M1">Element</a> of the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="osafree.html#K10" target="_self">LeastSort</a> <font color="Maroon">t</font></span>)</span> <b>by </b><i/>;<br/>
<b>take </b>
 <a href="osalg_4.html#K8">OSClass</a> <font color="Maroon">R</font>,<font color="Maroon">x1</font>
;<br/>

<b>let </b><font color="Maroon">s</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">x</font> be    <a href="subset_1.html#M1">Element</a> of the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><a href="osafree.html#K8" target="_self">ParsedTermsOSA</a> <font color="Maroon">X</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font>;<br/>



<b>assume </b><a NAME="E2:72_1_1"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">t</font> <a href="hidden.html#R1">=</a> <font color="Maroon">x</font>
 ;<br/>

<a NAME="E3:72_1_1"/>
 <a href="osafree.html#K10" target="_self">LeastSort</a> <font color="Maroon">t</font> <a href="orders_2.html#R3">&lt;=</a> <font color="Maroon">s</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E4:72_1_1"/>
 <a href="osalg_4.html#K8">OSClass</a> <font color="Maroon">R</font>,<font color="Maroon">x1</font> <a href="hidden.html#R1">=</a>  <a href="osalg_4.html#K8">OSClass</a> <font color="Maroon">R</font>,<font color="Maroon">x</font>
 <b>by </b><i>, <a class="ref" href="osalg_4.html#T14">OSALG_4:14</a></i>;<br/>


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