PrintForm Definitions automata 5 Sections AutomataTheory Doc

At: lang eq imp quo eq 1

1. Alph: Type
2. S1: Type
3. S2: Type
4. A1: Automata(Alph;S1)
5. A2: Automata(Alph;S2)
6. LangOf(A1) = LangOf(A2)

x,y:Alph*//(x LangOf(A1)-induced Equiv y) = x,y:Alph*//(x LangOf(A2)-induced Equiv y)

By:
Inst Thm* L:LangOver(A). EquivRel x,y:A*. x L-induced Equiv y [Alph;LangOf(A1)]
THEN
Inst Thm* L:LangOver(A). EquivRel x,y:A*. x L-induced Equiv y [Alph;LangOf(A2)]


Generated subgoal:

17. EquivRel x,y:Alph*. x LangOf(A1)-induced Equiv y
8. EquivRel x,y:Alph*. x LangOf(A2)-induced Equiv y
x,y:Alph*//(x LangOf(A1)-induced Equiv y) = x,y:Alph*//(x LangOf(A2)-induced Equiv y)


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