Nuprl - Proof: one one corr rel vs invfuns 1 1 1 1 2 1 1 1

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At: one one corr rel vs invfuns 1 1 1 1 2 1 1 1

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

Prop
4.

x:A.

!y:B. R(x;y)
5.

y:B.

!x:A. R(x;y)
6. f : A

B
7.

x:A. R(x;f(x))
8. g : B

A
9.

y:B. R(g(y);y)
10. x : A
11. y : B
12. R(x;y)
13. R(x;f(x))
14. y1 : B
15. R(x;y1)
16.

y:B. R(x;y)

y = y1

y = f(x)

By:	FwdThru: Hyp:16 on [ Hyp:12 ] THEN FwdThru: Hyp:16 on [ Hyp:13 ]

Generated subgoal:

1 17. y = y1
18. f(x) = y1
y = f(x)
Trivial

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