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<b>let </b><font color="Maroon" title="c2">U1</font>, <font color="Maroon" title="c3">U2</font> be   <a href="unialg_1.html#NM2" title="UNIALG_1:NM.2">Universal_Algebra</a>;<br/>

<b>assume </b><a NAME="E1:16"/><i><font color="Green" title="E14">A1</font></i>: 
 <a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c2">U1</font> is    <a href="msualg_2.html#M1" title="MSUALG_2:mode.1">MSSubAlgebra</a> of  <a href="msualg_1.html#K10" title="MSUALG_1:func.10">MSAlg</a> <font color="Maroon" title="c3">U2</font>
 ;<br/>

<b>hence </b><a NAME="E2:16"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">U1</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c3">U2</font>
 <b>by </b><i><a class="ref" href="mssublat.html#T13" target="_self" title="MSSUBLAT:th.13">Th13</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="unialg_2.html#D8" title="UNIALG_2:def.8">UNIALG_2:def 8</a><br/>

<b>let </b><font color="Maroon" title="c4">B</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c3">U2</font>;<br/>

<b>assume </b><a NAME="E3:16"/>
<font color="Maroon" title="c4">B</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c2">U1</font>
 ;<br/>

<b>hence </b><a NAME="E4:16"/>
( the <a href="unialg_1.html#U1" title="UNIALG_1:sel.1">charact</a> of <font color="Maroon" title="c2">U1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="unialg_2.html#K3" title="UNIALG_2:func.3">Opers</a> <font color="Maroon" title="c3">U2</font>,<font color="Maroon" title="c4">B</font> &amp; <font color="Maroon" title="c4">B</font> is <a href="unialg_2.html#V1" title="UNIALG_2:attr.1">opers_closed</a> )
 <b>by </b><i><a class="txt" href="mssublat.html#E1:16"><i><font color="Green" title="E14">A1</font></i></a>, <a class="ref" href="mssublat.html#T14" target="_self" title="MSSUBLAT:th.14">Th14</a>, <a class="ref" href="mssublat.html#T15" target="_self" title="MSSUBLAT:th.15">Th15</a></i>;<br/>


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