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At: one2one preserves fin 1 1 1 1 1 1 1 1 1 1 1 1 1 1

1. T: Type
2. U: Type
3. f: TU
4. g: UT
5. g o f = Id
6. f o g = Id
7. n:
8. f1: nT
9. Inj(n; T; f1)
10. Surj(n; T; f1)

Inj(n; U; f o f1)

By: Unfold `inject` 0

Generated subgoal:

1 a1,a2:n. (f o f1)(a1) = (f o f1)(a2) a1 = a2


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natural_numberuniversefunctionequalallimpliesapply