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1. Alph: Type
2. S: ActionSet(Alph)
3. sL: S.car*
4. Fin(Alph)
5. n:
6. f: nS.car
7. g: S.carn
8. InvFuns(n; S.car; f; g)
9. n:. TBL:S.car*. (s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))) ||TBL|| = n & (i:||TBL||, j:i. TBL[i] = TBL[j]) & (s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))) & (AL:S.car*. (s:S.car. mem_f(S.car;s;AL) (w:Alph*. mem_f(S.car;(S:ws);sL))) & (s:S.car. mem_f(S.car;s;sL) mem_f(S.car;s;TBL) mem_f(S.car;s;AL)) & (s:S.car, a:Alph. mem_f(S.car;S.act(a,s);TBL) mem_f(S.car;s;TBL) mem_f(S.car;s;AL)))

TBL:S.car*. s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))

By: Decide (n = 0)

Generated subgoals:

110. n = 0
TBL:S.car*. s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))
210. n = 0
TBL:S.car*. s:S.car. mem_f(S.car;s;TBL) (w:Alph*. mem_f(S.car;(S:ws);sL))


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