Nuprl - Proof: inv funs 2 unique 1

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At: inv funs 2 unique 1

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

B
4. g : B

A
5. h : B

A
6.

x:A. g(f(x)) = x
7.

y:B. f(g(y)) = y
8.

x:A. h(f(x)) = x
9.

y:B. f(h(y)) = y

g = h

By:	New:y FunExtensionality THEN ApFun: g to: f(g(y)) = f(h(y)) B THENA (Witness7: y THEN Witness9: y)

Generated subgoal:

1 10. y : B
11. g(f(g(y))) = g(f(h(y)))
g(y) = h(y)
1 step

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