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At: one one preser fin 1 1 1 1 1 1 2 1 1 1
1. T: Type
2. S: Type
3. n:
4. f: nT
5. Inj(n; T; f)
6. f1: TS
7. g: ST
8. g o f1 = Id
9. f1 o g = Id
10. b: S
11. a:n. f(a) = g(b)

a:n. (f1 o f)(a) = b
By: Analyze 11
Generated subgoal:

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

About:
existsnatural_numberequalapplyuniversefunction