At: lang eq imp quo eq 1 1 1 1 1 2
1. Alph: Type
2. S1: Type
3. S2: Type
4. A1: Automata(Alph;S1)
5. A2: Automata(Alph;S2)
6. LangOf(A1) = LangOf(A2)
7. EquivRel x,y:Alph*. x LangOf(A1)-induced Equiv y
8. EquivRel x,y:Alph*. x LangOf(A2)-induced Equiv y
9. z: Alph* = Alph*
10. x: Alph*
11. y: Alph*
12. z1: Alph*
13. (LangOf(A1)(z1 @ x)) 
(LangOf(A1)(z1 @ y))
(LangOf(A2)(z1 @ x)) 
(LangOf(A2)(z1 @ y))
By: {like the other branch } SimilarTo -1 THENP BackThru: 6 THENL [BackThru: 6;
Def of LangOver( < Alph > )]
Generated subgoals:None
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