At: any ge min auto 1 1 1
1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. S: Type
5. A: Automata(Alph;S)
6. Fin(Alph)
7. Fin(St)
8. LangOf(Auto) = LangOf(A)
9. Con(A)
10. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
11. EquivRel x,y:Alph*. x LangOf(A)-induced Equiv y
Con(MinAuto(Auto))
By: BackThru
Thm*
Auto:Automata(Alph;St). Fin(Alph) & Fin(St) 
Con(MinAuto(Auto))
Generated subgoals:None
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