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

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

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)
9. y : B

!x:A. R(x;y)

By:	Witness: g(y) THEN Analyze

Generated subgoals:

1 R(g(y);y)
2 steps

2 10. x : A
11. R(x;y)
x = g(y)
1 step

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