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At: pump thm cor 1 2
1. n:
2. Alph: Type
3. S: ActionSet(Alph)
4. s: S.car
5. f: S.car
6. #(S.car)=n
7. l:Alph*. (S:ls) = f
8. k:. (l:Alph*. ||l|| < k & (S:ls) = f) (l:Alph*. ||l||n & (S:ls) = f)

l:Alph*. ||l||n & (S:ls) = f
By: Analyze 7
Generated subgoal:

17. l: Alph*
8. (S:ls) = f
9. k:. (l:Alph*. ||l|| < k & (S:ls) = f) (l:Alph*. ||l||n & (S:ls) = f)
l:Alph*. ||l||n & (S:ls) = f

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existslistandequaluniverseallimpliesless_than