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

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At: one one corr rel vs invfuns 1 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)

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

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

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

By:

Analyze

Generated subgoals:

1 InvFuns(A;B;f;g)
10 steps

2 x:A, y:B. R(x;y) y = f(x) & x = g(y)
11 steps

About:

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

1	InvFuns(A;B;f;g)	10 steps
2	x:A, y:B. R(x;y) y = f(x) & x = g(y)	11 steps