Nuprl - Proof: one one corr fams if bij A 1 1 1 2

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At: one one corr fams if bij A 1 1 1 2

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

Type
4. g : A'

A
5. Bij(A'; A; g)
6. f : A

A'
7. InvFuns(A';A;g;f)

F,G:(x:A

B(x)

B(x)).

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

u:A. InvFuns(B(u);B(u);F(u);G(u)))

By:	Witness: u.Id \| u.Id THEN Reduce 0

Generated subgoals:

1 InvFuns(A;A';f;g)
1 step

2 8. u : A
InvFuns(B(u);B(u);Id;Id)
1 step

About:

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1	InvFuns(A;A';f;g)	1 step
2	8. u : A InvFuns(B(u);B(u);Id;Id)	1 step