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

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At: one one corr rel vs invfuns 1 1 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)
10. x : A

g(f(x)) = x

By:	Inst: Hyp:5 Using:[f(x)] THEN CBV-1: u

Generated subgoal:

1 11. !u:A. R(u;f(x))
g(f(x)) = x
3 steps

About:

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