PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: min auto con 1 1 1 3
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. s: x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
7. h:(Alph*Alph*). (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)))

l:Alph*. (Result(MinAuto(Auto))l) = s
By:
Reduce 7
THEN
Analyze 7
THEN
Analyze 8
Generated subgoal:

17. h: Alph*Alph*
8. x,y:Alph*. x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y) h(x) = h(y)
9. x:Alph*. x = h(x) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
l:Alph*. (Result(MinAuto(Auto))l) = s

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