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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="osalg_1.html#NM3">OrderSortedSign</a>;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be   <a href="osalg_1.html#NM5">OSAlgebra</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="tarski.html#D3">TARSKI:def 3</a><br/>





<b>assume </b><a NAME="E1:71"/><i><font color="Green">E48</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="osalg_2.html#K12" target="_self">OSSub</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<a NAME="E2:71"/>
<font color="Maroon">c<sub>3</sub></font> is  <a href="msualg_1.html#V4">strict</a>  <a href="msualg_2.html#M1">MSSubAlgebra</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="txt" href="osalg_2.html#E1:71"><i><font color="Green">E48</font></i></a>, <a class="ref" href="osalg_2.html#D15" target="_self">Def15</a></i>;<br/>
<b>hence </b><a NAME="E3:71"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a>  <a href="msualg_2.html#K14">MSSub</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="msualg_2.html#D20">MSUALG_2:def 20</a></i>;<br/>


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