PrintForm Definitions automata 4 Sections AutomataTheory Doc

At: refine iso 1 1 1 1 1 2 1 2 1 1 1
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. Con(A2)
8. LangOf(A1) = LangOf(A2)
9. A1 A2
10. A2 A1
11. f: S1Alph*
12. x:S1. (Result(A1)f(x)) = x
13. s: S1
14. a: Alph
15. A2((Result(A2)f(s)),a) = (Result(A2)a.f(s))
16. (Result(A1)f(s)) = s

(Result(A2)f(A1((Result(A1)f(s)),a))) = (Result(A2)a.f(s))
By: Unfold `refine` 9
Generated subgoal:

19. x,y:Alph*. (Result(A1)x) = (Result(A1)y) (Result(A2)x) = (Result(A2)y)
10. A2 A1
11. f: S1Alph*
12. x:S1. (Result(A1)f(x)) = x
13. s: S1
14. a: Alph
15. A2((Result(A2)f(s)),a) = (Result(A2)a.f(s))
16. (Result(A1)f(s)) = s
(Result(A2)f(A1((Result(A1)f(s)),a))) = (Result(A2)a.f(s))

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