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At: refine iso 1 1 1 1 1 1 2 1 1 1 1 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. LangOf(A1) = LangOf(A2)
8. x,y:Alph*. (Result(A1)x) = (Result(A1)y) (Result(A2)x) = (Result(A2)y)
9. A2 A1
10. f: S1Alph*
11. b: S2
12. l: Alph*
13. (Result(A2)l) = b
14. (Result(A1)f(Result(A1)l)) = (Result(A1)l)

(Result(A2)f(Result(A1)l)) = b
By: InstHyp [f(Result(A1)l);l] 8
Generated subgoal:

115. (Result(A2)f(Result(A1)l)) = (Result(A2)l)
(Result(A2)f(Result(A1)l)) = b

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equalapplyuniverseallexistslistimpliesfunction