PrintForm Definitions automata 4 Sections AutomataTheory Doc

At: homo step 1

1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)

g:((x,y:Alph*//(x LangOf(Auto)-induced Equiv y))), c:(StAlph*). (q:St. (Result(Auto)c(q)) = q) (q:St, a:Alph. c(Auto(q,a)) = A(g)(c(q),a) x,y:Alph*//(x LangOf(Auto)-induced Equiv y))

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

Generated subgoal:

14. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
g:((x,y:Alph*//(x LangOf(Auto)-induced Equiv y))), c:(StAlph*). (q:St. (Result(Auto)c(q)) = q) (q:St, a:Alph. c(Auto(q,a)) = A(g)(c(q),a) x,y:Alph*//(x LangOf(Auto)-induced Equiv y))


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