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<b>let </b><font color="Maroon">S</font> be  non <a href="struct_0.html#V3">empty</a> non <a href="msualg_1.html#V2">void</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">S</font>;<br/><b>let </b><font color="Maroon">R</font> be  <a href="msualg_6.html#V4" target="_self">stable</a> <a href="msualg_4.html#NM4">ManySortedRelation</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">h</font> be    <a href="msualg_6.html#M1" target="_self">Endomorphism</a> of <font color="Maroon">A</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="msualg_6.html#D9" target="_self">MSUALG_6:def 9</a><br/><b>let </b><font color="Maroon">s</font> be   <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S</font>;<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/>











<b>assume </b><a NAME="E1:73"/><i><font color="Green">E32</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="msualg_6.html#K9" target="_self">EqCl</a> <font color="Maroon">R</font>,<font color="Maroon">A</font></span>)</span> <a href="msualg_4.html#K2">.</a> <font color="Maroon">s</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">a</font> = <font color="Maroon">a</font>, <font color="Maroon">b</font> = <font color="Maroon">b</font> as   <a href="msualg_6.html#NM1">Element</a> of <font color="Maroon">A</font>,<font color="Maroon">s</font> <b>by </b><i><a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>
<a NAME="E3:73"/>
<font color="Maroon">a</font>,<font color="Maroon">b</font> <a href="rewrite1.html#R2">are_convertible_wrt</a> <font color="Maroon">R</font> <a href="msualg_4.html#K1">.</a> <font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="msualg_6.html#T5" target="_self">Th5</a>, <a class="ref" href="msualg_6.html#T3" target="_self">Th3</a></i>;<br/>
<a NAME="E4:73"/><b>then </b>
<span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font>,<span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">b</font> <a href="rewrite1.html#R2">are_convertible_wrt</a> <font color="Maroon">R</font> <a href="msualg_4.html#K1">.</a> <font color="Maroon">s</font>
 
<b>by </b><i><a class="ref" href="msualg_6.html#D2" target="_self">Def2</a></i>;<br/>
<b>hence </b><a NAME="E5:73"/>
<span class="p1"><a href="tarski.html#K4">[</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">h</font> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Maroon">h</font> <a href="msualg_3.html#K1">.</a> <font color="Maroon">s</font></span>)</span> <a href="funct_1.html#K1">.</a> <font color="Maroon">b</font></span>)</span></span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a> <span class="p1">(<span class="default"><a href="msualg_6.html#K9" target="_self">EqCl</a> <font color="Maroon">R</font>,<font color="Maroon">A</font></span>)</span> <a href="msualg_4.html#K1">.</a> <font color="Maroon">s</font>
 <b>by </b><i><a class="ref" href="msualg_6.html#T3" target="_self">Th3</a></i>;<br/>


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