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<b>let </b><font color="Maroon">S1</font> be  <a href="instalg1.html#V1" target="_self">feasible</a>  <a href="msualg_1.html#L1">ManySortedSign</a> ;<br/><b>let </b><font color="Maroon">S2</font> be    <a href="instalg1.html#M1" target="_self">Subsignature</a> of <font color="Maroon">S1</font>;<br/>



<b>assume </b><a NAME="E1:23"/>
<font color="Maroon">S1</font> is    <a href="instalg1.html#M1" target="_self">Subsignature</a> of <font color="Maroon">S2</font>
 ;<br/>

<a NAME="E2:23"/><b>then </b>
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font> &amp; the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S1</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S2</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S1</font> &amp; the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S1</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S2</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S1</font> &amp; the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S1</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S2</font> <a href="tarski.html#R1">c=</a> the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S1</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E3:23"/><b>then </b>
( the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S1</font> <a href="hidden.html#R1">=</a> the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S2</font> &amp; the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S1</font> <a href="funct_2.html#R1">=</a> the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S2</font> )
 
<b>by </b><i><a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>
<b>hence </b><a NAME="E4:23"/>
 <a href="msualg_1.html#G1">ManySortedSign</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S1</font>,the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S1</font>,the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S1</font>,the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S1</font> #) <a href="hidden.html#R1">=</a>  <a href="msualg_1.html#G1">ManySortedSign</a>(# the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">S2</font>,the <a href="msualg_1.html#U1">OperSymbols</a> of <font color="Maroon">S2</font>,the <a href="msualg_1.html#U2">Arity</a> of <font color="Maroon">S2</font>,the <a href="msualg_1.html#U3">ResultSort</a> of <font color="Maroon">S2</font> #)
 ;<br/>


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