PrintForm Definitions automata 5 Sections AutomataTheory Doc

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

Inj(St; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); c)
By: BackThru Thm* f:(AB). (A ~ B) & Fin(B) Surj(A; B; f) Inj(A; B; f)
Generated subgoals:

1 (St ~ (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))) & Fin(x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
2 Surj(St; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); c)

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