Nuprl - Pf Rl_quo_is_decidable 1 1 1 1 1 1 1 2 1

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At: Rl quo is decidable 1 1 1 1 1 1 1 2 1

1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. Fin(Alph) & Fin(St)
5. x: Alph*
6. y: Alph*
7. n:
8. f: n(x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
9. g: (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))n
10. InvFuns(n; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); f; g)
11. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
12. g(x) = g(y)
13. f(g(x)) = f(g(y))

x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

By: RWH add_composeC 13

Generated subgoal:

1 13. (f o g)(x) = (f o g)(y)
x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

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