Nuprl - Pf reach_lemma 1 1 2 2 2 1

PrintForm Definitions det automata Sections AutomataTheory Doc

1. Alph: Type
2. S: ActionSet(Alph)
3. si: S.car
4. nn:
5. f: nnAlph
6. g: Alphnn
7. Fin(S.car)
8. InvFuns(nn; Alph; f; g)
9. k:
10. 0 < k
11. knn
12. RLa: S.car*
13. i:{1..1}, a:Alph. si = S.act(a,[si][i]) False mem_f(S.car;S.act(a,[si][i]);RLa)
14. a:Alph. g(a) < k-1 si = S.act(a,si) False mem_f(S.car;S.act(a,si);RLa)
15. s:S.car. mem_f(S.car;s;RLa) (w:Alph*. (S:wsi) = s)

RLa:S.car*. (i:{1..1}, a:Alph. si = S.act(a,[si][i]) False mem_f(S.car;S.act(a,[si][i]);RLa)) & (a:Alph. g(a) < k si = S.act(a,si) False mem_f(S.car;S.act(a,si);RLa)) & (s:S.car. mem_f(S.car;s;RLa) (w:Alph*. (S:wsi) = s))

By: InstConcl [S.act(f(k-1),si).RLa]

Generated subgoals:

1 16. a: Alph
17. g(a) < k
si = S.act(a,si) False mem_f(S.car;S.act(a,si);S.act(f(k-1),si).RLa)

2 16. s: S.car
17. mem_f(S.car;s;S.act(f(k-1),si).RLa)
w:Alph*. (S:wsi) = s

About:

1	16. `a:` `Alph` 17. `g(a) < k` `si = S.act(a,si) False mem_f(S.car;S.act(a,si);S.act(f(k-1),si).RLa)`
2	16. `s:` `S.car` 17. `mem_f(S.car;s;S.act(f(k-1),si).RLa)` `w:Alph*. (S:wsi) = s`