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Definitions
automata
4
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AutomataTheory
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1.
Alph:
Type
2.
S1:
Type
3.
S2:
Type
4.
A1:
Automata(Alph;S1)
5.
A2:
Automata(Alph;S2)
6.
s:S1.
l:Alph*. (Result(A1)l) = s
7.
x,y:Alph*. (Result(A1)x) = (Result(A1)y)
(Result(A2)x) = (Result(A2)y)
8.
f:
S1
Alph*
9.
x:S1. (Result(A1)f(x)) = x
10.
b:
S2
11.
l:
Alph*
12.
(Result(A2)l) = b
(Result(A2)f(Result(A1)l)) = b
By:
Witness7 f(Result(A1)l)
Generated subgoal:
1
7.
f:
S1
Alph*
8.
x:S1. (Result(A1)f(x)) = x
9.
b:
S2
10.
l:
Alph*
11.
(Result(A2)l) = b
12.
y:Alph*. (Result(A1)f(Result(A1)l)) = (Result(A1)y)
(Result(A2)f(Result(A1)l)) = (Result(A2)y)
(Result(A2)f(Result(A1)l)) = b
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