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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> <a href="msualg_1.html#V1">strict</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/>



<a NAME="E1:12"/><i><font color="Green">E8</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="pboole.html#D3">PBOOLE:def 3</a></i>;<br/>
<a NAME="E2:12"/><i><font color="Green">E9</font></i>: 
the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="relat_1.html#K1">dom</a> the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">c<sub>2</sub></font>
 
<b>by </b><i><a class="ref" href="pboole.html#D3">PBOOLE:def 3</a></i>;<br/>
<i><font color="Green">E10</font></i>: the <a href="msualg_1.html#U4">Sorts</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="msuhom_1.html#K2" target="_self">Over</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font> <a href="relat_1.html#K7">|</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="msuhom_1.html#D2" target="_self">Def2</a></i>
<br/>.= 
the <a href="msualg_1.html#U4">Sorts</a> of <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="msuhom_1.html#E1:12"><i><font color="Green">E8</font></i></a>, <a class="ref" href="relat_1.html#T97">RELAT_1:97</a></i>
;<br/>
the <a href="msualg_1.html#U5">Charact</a> of <span class="p1">(<span class="default"><font color="Maroon">c<sub>2</sub></font> <a href="msuhom_1.html#K2" target="_self">Over</a> <font color="Maroon">c<sub>1</sub></font></span>)</span> = 
the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">c<sub>2</sub></font> <a href="relat_1.html#K7">|</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">c<sub>1</sub></font>
<b>by </b><i><a class="ref" href="msuhom_1.html#D2" target="_self">Def2</a></i>
<br/>.= 
the <a href="msualg_1.html#U5">Charact</a> of <font color="Maroon">c<sub>2</sub></font>
<b>by </b><i><a class="txt" href="msuhom_1.html#E2:12"><i><font color="Green">E9</font></i></a>, <a class="ref" href="relat_1.html#T97">RELAT_1:97</a></i>
;<br/>
<b>hence </b><a NAME="E5:12"/>
<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> <a href="msuhom_1.html#K2" target="_self">Over</a> <font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="msuhom_1.html#E3:12"><i><font color="Green">E10</font></i></a></i>;<br/>


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