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<b>let </b><font color="Maroon" title="c1">S1</font> be   <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon" title="c2">OU0</font> be  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a> <a href="osalg_1.html#NM5" title="OSALG_1:NM.5">OSAlgebra</a> of <font color="Maroon" title="c1">S1</font>;<br/><b>let </b><font color="Maroon" title="c3">B</font> be    <a href="osalg_2.html#M2" title="OSALG_2:mode.2">OSSubset</a> of <font color="Maroon" title="c2">OU0</font>;<br/>





<b>assume </b><a NAME="E1:60"/>
<font color="Maroon" title="c3">B</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> the <a href="msualg_1.html#U4" title="MSUALG_1:sel.4">Sorts</a> of <font color="Maroon" title="c2">OU0</font>
 ;<br/>

<a NAME="E2:60"/><b>then </b><i><font color="Green" title="E37">A1</font></i>: 
 <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a> <font color="Maroon" title="c3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">OU0</font>
 
<b>by </b><i><a class="ref" href="msualg_2.html#T22" title="MSUALG_2:th.22">MSUALG_2:22</a></i>;<br/>
<a NAME="E3:60"/>
 <a href="msualg_2.html#K12" title="MSUALG_2:func.12">GenMSAlg</a> <font color="Maroon" title="c3">B</font> is  <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">strict</a>  <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of  <a href="osalg_2.html#K10" title="OSALG_2:func.10">GenOSAlg</a> <font color="Maroon" title="c3">B</font>
 
<b>by </b><i><a class="ref" href="osalg_2.html#T37" target="_self" title="OSALG_2:th.37">Th37</a>, <a class="ref" href="msualg_2.html#T9" title="MSUALG_2:th.9">MSUALG_2:9</a></i>;<br/>
<b>hence </b><a NAME="E4:60"/>
 <a href="osalg_2.html#K10" title="OSALG_2:func.10">GenOSAlg</a> <font color="Maroon" title="c3">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">OU0</font>
 <b>by </b><i><a class="txt" href="osalg_2.html#E2:60"><i><font color="Green" title="E37">A1</font></i></a>, <a class="ref" href="msualg_2.html#T8" title="MSUALG_2:th.8">MSUALG_2:8</a></i>;<br/>


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