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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="unialg_1.html#NM2">Universal_Algebra</a>;<br/>

<b>assume </b><a NAME="E1:17"/><i><font color="Green">E14</font></i>: 
 <a href="msualg_1.html#K10">MSAlg</a> <font color="Maroon">c<sub>1</sub></font> is    <a href="msualg_2.html#M1">MSSubAlgebra</a> of  <a href="msualg_1.html#K10">MSAlg</a> <font color="Maroon">c<sub>2</sub></font>
 ;<br/>

<b>hence </b><a NAME="E2:17"/>
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> is   <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="mssublat.html#T13" target="_self">Th13</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="unialg_2.html#D8">UNIALG_2:def 8</a><br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>

<b>assume </b><a NAME="E3:17"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>

<b>hence </b><a NAME="E4:17"/>
( the <a href="unialg_1.html#U1">charact</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="unialg_2.html#K3">Opers</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font> &amp; <font color="Maroon">c<sub>3</sub></font> is <a href="unialg_2.html#V1">opers_closed</a> )
 <b>by </b><i><a class="txt" href="mssublat.html#E1:17"><i><font color="Green">E14</font></i></a>, <a class="ref" href="mssublat.html#T14" target="_self">Th14</a>, <a class="ref" href="mssublat.html#T15" target="_self">Th15</a></i>;<br/>


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