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At: prod fin is fin 1 2 6 2 1

1. T: Type
2. t: T
3. n:
4. f: nT
5. Inj(n; T; f)
6. b:T. a:n. f(a) = b
7. n > 0
8. b: TT

a:(nn). (x. < f(x n),f(x rem n) > )(a) = b

By: Analyze 8

Generated subgoal:

18. b1: T
9. b2: T
a:(nn). (x. < f(x n),f(x rem n) > )(a) = < b1,b2 >


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