Nuprl - Proof: bij imp exists inv version2 1

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At: bij imp exists inv version2 1

1. A : Type
2. B : Type
3. f : A

B
4. Inj(A; B; f)
5. Surj(A; B; f)

g:(B

A). InvFuns(A;B;f;g)

By:	DescribeFun: g by b:B. !a:A. f(a) = b

Generated subgoals:

1 b:B. !a:A. f(a) = b
3 steps

2 6. b:B. !a:A. f(a) = b
7. g : BA
8. b:B. f(g(b)) = b
g:(BA). InvFuns(A;B;f;g)
4 steps

About:

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1	b:B. !a:A. f(a) = b	3 steps
2	6. b:B. !a:A. f(a) = b 7. g : BA 8. b:B. f(g(b)) = b g:(BA). InvFuns(A;B;f;g)	4 steps