Nuprl - Pf homo_is_surj 1 1 3 1 1 1

PrintForm Definitions automata 5 Sections AutomataTheory Doc

1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. c: StAlph*
5. (q:St. (Result(Auto)c(q)) = q) & Fin(Alph) & Fin(St)
6. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
7. h: Alph*Alph*
8. (x,y:Alph*. (x (x,y. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)) y) h(x) = h(y)) & (x:Alph*. x (x,y. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y)) (h(x)))
9. b: x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

a:St. c(a) = b x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

By: Witness Result(Auto)h(b)

Generated subgoals:

1 (Result(Auto)h(b)) St

2 c(Result(Auto)h(b)) = b x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

3 10. a: St
c(a) = b x,y:Alph*//(x LangOf(Auto)-induced Equiv y) Prop

About:

1	`(Result(Auto)h(b)) St`
2	`c(Result(Auto)h(b)) = b x,y:Alph*//(x LangOf(Auto)-induced Equiv y)`
3	10. `a:` `St` `c(a) = b x,y:Alph*//(x LangOf(Auto)-induced Equiv y) Prop`