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

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At: one one corr rel vs invfuns 1 2 1

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

Prop
4. f : A

B
5. g : B

A
6.

x:A. g(f(x)) = x
7.

y:B. f(g(y)) = y
8.

x:A, y:B. R(x;y)

y = f(x) & x = g(y)

1-1-Corr x:A,y:B. R(x;y)

By:

Analyze

Generated subgoals:

1 9. x : A
!y:B. R(x;y)
4 steps

2 9. y : B
!x:A. R(x;y)
4 steps

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html