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<b>let </b><font color="Maroon">c<sub>1</sub></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">c<sub>2</sub></font> be  <a href="msualg_1.html#V4">strict</a> <a href="msualg_1.html#V5">non-empty</a>  <a href="msualg_1.html#L3">MSAlgebra</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>reconsider </b><font color="Maroon">c<sub>3</sub></font> = the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font> as   <a href="msualg_2.html#NM1">MSSubset</a> of <font color="Maroon">c<sub>2</sub></font> <b>by </b><i><a class="ref" href="pboole.html#D23">PBOOLE:def 23</a></i>;<br/>
<b>thus </b> <a href="lattices.html#K6">Top</a> <span class="p1">(<span class="default"><a href="msualg_2.html#K17" target="_self">MSSubAlLattice</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> = 
 <a href="msualg_2.html#K12" target="_self">GenMSAlg</a> <font color="Maroon">c<sub>3</sub></font>
<b>by </b><i><a class="ref" href="msualg_2.html#T36" target="_self">Th36</a></i>
<br/>.= 
<font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="ref" href="msualg_2.html#T22" target="_self">Th22</a></i>
;<br/>


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