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At: pump thm cor 1 2 1 1

1. n:
2. Alph: Type
3. S: ActionSet(Alph)
4. s: S.car
5. f: S.car
6. #(S.car)=n
7. l: Alph*
8. (S:ls) = f
9. (l@0:Alph*. ||l@0|| < ||l||+1 & (S:l@0s) = f) (l:Alph*. ||l||n & (S:ls) = f)

l:Alph*. ||l||n & (S:ls) = f

By: Analyze 9

Generated subgoals:

1 l@0:Alph*. ||l@0|| < ||l||+1 & (S:l@0s) = f
29. l:Alph*. ||l||n & (S:ls) = f
l:Alph*. ||l||n & (S:ls) = f


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existslistandequaluniverse
impliesless_thanaddnatural_number