PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: min auto sound 1 1 2 1 2 1 1 1
1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. l: Alph*
5. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
6. (Result(A(l.FinalState(Auto)(Result(Auto)l)))l) = l x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
7. z1: Alph*
8. z2: Alph*
9. z1 LangOf(Auto)-induced Equiv z2

Auto(z1) = Auto(z2)
By:
Unfold `lang_rel` 9
THEN
Reduce 9
Generated subgoal:

19. z:Alph*. LangOf(Auto)(z @ z1) LangOf(Auto)(z @ z2)
Auto(z1) = Auto(z2)

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