Nuprl - Proof: one one corr fams sym 1 1 1 1 1

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At: one one corr fams sym 1 1 1 1 1

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

Type
4. B' : A'

Type
5. f : A

A'
6. g : A'

A
7. F : x:A

B(x)

B'(f(x))
8. G : x:A

B'(f(x))

B(x)
9. InvFuns(A;A';f;g)
10.

u:A. InvFuns(B(u);B'(f(u));F(u);G(u))
11. x' : A'

G(g(x'))

B'(x')

B(g(x'))

By:	ChangeToEqType: B'(f(g(x')))B(g(x')) THEN Rewrite by f(g(x')) = x' A' THEN BackThru: Hyp:9

Generated subgoals:

None

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