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1. Alph: Type
2. S: ActionSet(Alph)
3. s: S.car
4. n:
5. f: nAlph
6. b:Alph. a:n. f(a) = b
7. n1:
8. f1: n1S.car
9. b:S.car. a:n1. f1(a) = b
10. BL: S.car*
11. t: S.car
12. a: Alph
13. S.act(a,t) = s
14. a@0: n
15. f(a@0) = a

mem_f(S.car;s;(y.S.act(f(y),t))[n])
By: Inst Thm* L:T*, i:||L||. mem_f(T;L[i];L) [S.car;(y.S.act(f(y),t))[n];a@0]
Generated subgoal:

116. mem_f(S.car;((y.S.act(f(y),t))[n])[a@0];(y.S.act(f(y),t))[n])
mem_f(S.car;s;(y.S.act(f(y),t))[n])

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