PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: Rl quo is decidable 1 1 1 1 1

1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. Fin(Alph) & Fin(St)
5. x: Alph*
6. y: Alph*
7. n:
8. f: n(x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
9. g:((x,y:Alph*//(x LangOf(Auto)-induced Equiv y))n). InvFuns(n; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); f; g)
10. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y

Dec(x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y))

By: Analyze 9

Generated subgoal:

19. g: (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))n
10. InvFuns(n; x,y:Alph*//(x LangOf(Auto)-induced Equiv y); f; g)
11. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
Dec(x = y x,y:Alph*//(x LangOf(Auto)-induced Equiv y))


About:
equalquotientlistuniverseandfunctionnatural_numberexists