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<b>set </b><font color="Maroon">B</font> = the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font> <a href="pboole.html#K2">\/</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font>;<br/>
<a NAME="E1:64_1_1"/>
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font> is   <a href="msualg_2.html#NM1">MSSubset</a> of <font color="Maroon">U0</font> &amp; the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> is   <a href="msualg_2.html#NM1">MSSubset</a> of <font color="Maroon">U0</font> )
 
<b>by </b><i><a class="ref" href="msualg_2.html#D10">MSUALG_2:def 10</a></i>;<br/>
<a NAME="E2:64_1_1"/><b>then </b>
( the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font> <a href="pboole.html#R2">c=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U0</font> &amp; the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> <a href="pboole.html#R2">c=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U0</font> )
 
<b>by </b><i><a class="ref" href="pboole.html#D23">PBOOLE:def 23</a></i>;<br/>
<a NAME="E3:64_1_1"/><b>then </b>
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font> <a href="pboole.html#K2">\/</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> <a href="pboole.html#R2">c=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U0</font>
 
<b>by </b><i><a class="ref" href="pboole.html#T18">PBOOLE:18</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">U1</font> <a href="pboole.html#K2">\/</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> as   <a href="msualg_2.html#NM1">MSSubset</a> of <font color="Maroon">U0</font> <b>by </b><i><a class="ref" href="pboole.html#D23">PBOOLE:def 23</a></i>;<br/>
<b>reconsider </b><font color="Maroon">B1</font> = the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font>, <font color="Maroon">B2</font> = the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> as   <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></i>;<br/>
<a NAME="E6:64_1_1"/>
<font color="Maroon">B</font> <a href="pboole.html#R6">=</a> <font color="Maroon">B1</font> <a href="pboole.html#K2">\/</a> <font color="Maroon">B2</font>
 
;<br/>
<a NAME="E7:64_1_1"/><b>then </b>
<font color="Maroon">B</font> is   <a href="osalg_1.html#NM4">OrderSortedSet</a> of <font color="Maroon">S1</font>
 
<b>by </b><i/>;<br/>
<b>then reconsider </b><font color="Maroon">B0</font> = <font color="Maroon">B</font> as    <a href="osalg_2.html#M2" target="_self">OSSubset</a> of <font color="Maroon">U0</font> <b>by </b><i/>;<br/>
<b>take </b>
 <a href="osalg_2.html#K10" target="_self">GenOSAlg</a> <font color="Maroon">B0</font>
;<br/>

<b>thus </b><a NAME="E9:64_1_1"/>
for <font color="Olive">A</font> being   <a href="osalg_2.html#M2" target="_self">OSSubset</a> of <font color="Maroon">U0</font>  st <font color="Olive">A</font> <a href="pboole.html#R6">=</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U1</font> <a href="pboole.html#K2">\/</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">U2</font> holds <br/> <a href="osalg_2.html#K10" target="_self">GenOSAlg</a> <font color="Maroon">B0</font> <a href="hidden.html#R1">=</a>  <a href="osalg_2.html#K10" target="_self">GenOSAlg</a> <font color="Olive">A</font>
 ;<br/>


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