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At: one2one preserves fin 1 1 1 1 1 1 1 1 1 1 1 1 1 2 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. b: U
11. a: n
12. f1(a) = g(b)

a:n. (f o f1)(a) = b
By: ApFunToHypEquands `x' (f(x)) U 12
Generated subgoal:

113. f(f1(a)) = f(g(b))
a:n. (f o f1)(a) = b

About:
existsnatural_numberequalapplyuniversefunction