PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: homo is surj 1 1 3 1 1 1 2 1 1 1 1 1 1 1
1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. c: StAlph*
5. Fin(Alph)
6. Fin(St)
7. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
8. h: Alph*Alph*
9. x,y:Alph*. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y) h(x) = h(y)
10. x:Alph*. x = h(x) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
11. b1: Alph*
12. b2: Alph*
13. b1 LangOf(Auto)-induced Equiv b2
14. (Result(Auto)c(Result(Auto)h(b1))) = (Result(Auto)h(b1))
15. b1 = b2 x,y:Alph*//(x LangOf(Auto)-induced Equiv y) h(b1) = h(b2)
16. (b1 = b2 x,y:Alph*//(x LangOf(Auto)-induced Equiv y)) (h(b1) = h(b2))

b1 = b2 x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
By: Inst Thm* Auto:Automata(Alph;St) , g:((x,y:Alph*//(x LangOf(Auto)-induced Equiv y))). Auto A(g) [Alph;St;Auto;l:x,y:Alph*//(x LangOf(Auto)-induced Equiv y). true]
Generated subgoal:

117. Auto A(l:x,y:Alph*//(x LangOf(Auto)-induced Equiv y). true)
b1 = b2 x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

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