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

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At: one one corr rel vs invfuns 1 2

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

Prop
4.

f:(A

B), g:(B

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

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

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

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

By:	3 Times Analyze-1 THEN Analyze-2

Generated subgoal:

1 4. f : AB
5. g : BA
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)
9 steps

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