PrintForm Definitions automata 4 Sections AutomataTheory Doc

At: homo step 1 1 1 1 1 1
1. Alph: Type
2. St: Type
3. Auto: Automata(Alph;St)
4. EquivRel x,y:Alph*. x LangOf(Auto)-induced Equiv y
5. g: (x,y:Alph*//(x LangOf(Auto)-induced Equiv y))
6. c: StAlph*
7. q:St. (Result(Auto)c(q)) = q
8. q: St
9. a: Alph
10. (Result(Auto)c(Result(Auto)a.c(q))) = (Result(Auto)a.c(q))
11. x,y:Alph*. (Result(Auto)x) = (Result(Auto)y) (Result(A(g))x) = (Result(A(g))y)
12. (Result(A(g))c(Result(Auto)a.c(q))) = (Result(A(g))a.c(q))

c(Auto(q,a)) = A(g)(c(q),a) x,y:Alph*//(x LangOf(Auto)-induced Equiv y)
By: RWH (LemmaC Thm* L:LangOver(Alph), g:((x,y:Alph*//(x L-induced Equiv y))), l:Alph*. (Result(A(g))l) = l x,y:Alph*//(x L-induced Equiv y)) 12
Generated subgoal:

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

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