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<b>let </b><font color="Maroon">S1</font> be   <a href="osalg_1.html#NM3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon">OU0</font> be   <a href="osalg_1.html#NM5">OSAlgebra</a> of <font color="Maroon">S1</font>;<br/><b>let </b><font color="Maroon">A</font> be    <a href="osalg_2.html#M2" target="_self">OSSubset</a> of <font color="Maroon">OU0</font>;<br/><b>let </b><font color="Maroon">s</font> be   <a href="osalg_1.html#NM1">SortSymbol</a> of <font color="Maroon">S1</font>;<br/>







<a NAME="E1:43"/><i><font color="Green">E25</font></i>: 
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> <a href="hidden.html#R2">in</a>  <a href="osalg_2.html#K5" target="_self">OSSubSort</a> <font color="Maroon">A</font>
 
<b>by </b><i/>;<br/>
<a NAME="E2:43"/>
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> is    <a href="pboole.html#M4">ManySortedSubset</a> of the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> &amp; the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> is   <a href="osalg_1.html#NM4">OrderSortedSet</a> of <font color="Maroon">S1</font> )
 
<b>by </b><i><a class="ref" href="osalg_1.html#T17">OSALG_1:17</a>, <a class="ref" href="pboole.html#D23">PBOOLE:def 23</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">B</font> = the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> as    <a href="osalg_2.html#M2" target="_self">OSSubset</a> of <font color="Maroon">OU0</font> <b>by </b><i/>;<br/>
<a NAME="E4:43"/>
<font color="Maroon">B</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> <a href="hidden.html#R2">in</a>  <a href="osalg_2.html#K8" target="_self">OSSubSort</a> <font color="Maroon">A</font>,<font color="Maroon">s</font>
 
<b>by </b><i>, </i>;<br/>
<b>hence </b><a NAME="E5:43"/>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">OU0</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">s</font> <a href="hidden.html#R2">in</a>  <a href="osalg_2.html#K8" target="_self">OSSubSort</a> <font color="Maroon">A</font>,<font color="Maroon">s</font>
 ;<br/>


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