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

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At: one one corr rel vs invfuns 1 1

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

Prop
4. 1-1-Corr x:A,y:B. R(x;y)

f:(A

B), g:(B

A).

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

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

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

By:

Analyze-1

Generated subgoal:

1 4. x:A. !y:B. R(x;y)
5. y:B. !x:A. R(x;y)
f:(AB), g:(BA).
InvFuns(A;B;f;g) & (x:A, y:B. R(x;y) y = f(x) & x = g(y))
23 steps

About:

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