PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: min auto con 1 1 1 3 1 2 1 1
1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. Fin(Alph) & Fin(St)
5. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
6. h: Alph*Alph*
7. x,y:Alph*. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y) h(x) = h(y)
8. x:Alph*. x = h(x) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
9. s1: Alph*
10. s2: Alph*
11. s1 LangOf(Auto)-induced Equiv s2

(Result(MinAuto(Auto))h(s1)) = h(s2) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
By: RWH (LemmaC Thm* Auto:Automata(Alph;St), l:Alph*. (Result(MinAuto(Auto))l) = l x,y:Alph*//(x LangOf(Auto)-induced Equiv y)) 0
Generated subgoal:

1 h(s1) = h(s2) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)

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