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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_4.html#NM4">ManySortedRelation</a> of <font color="Maroon">A</font>;<br/><b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="pboole.html#D5">PBOOLE:def 5</a><br/>







<b>assume </b><a NAME="E1:70"/>
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S</font>
 ;<br/>

<b>then reconsider </b><font color="Maroon">s</font> = <font color="Maroon">i</font> as   <a href="msualg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S</font> ;<br/>
<a NAME="E3:70"/>
<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> <a href="hidden.html#R1">=</a>  <a href="msualg_5.html#K1">EqCl</a> <span class="p1">(<span class="default"><font color="Maroon">R</font> <a href="msualg_4.html#K1">.</a> <font color="Maroon">s</font></span>)</span>
 
<b>by </b><i><a class="ref" href="msualg_5.html#D3">MSUALG_5:def 3</a></i>;<br/>
<b>hence </b><a NAME="E4:70"/>
<font color="Maroon">R</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> <a href="tarski.html#R1">c=</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="funct_1.html#K1">.</a> <font color="Maroon">i</font>
 <b>by </b><i><a class="ref" href="msualg_5.html#D1">MSUALG_5:def 1</a></i>;<br/>


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