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

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

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:(x:A

B(x)

B(g(f(x)))), G:(x:A

B(g(f(x)))

B(x)).

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

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

By:	Rewrite by y:A. g(f(y)) = y

Generated subgoals:

1 8. y : A
  g(f(y)) = y
1 step

2   F,G:(x:AB(x)B(x)).
  InvFuns(A;A';f;g) & (u:A. InvFuns(B(u);B(u);F(u);G(u)))
3 steps

About:

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1	8. y : A g(f(y)) = y	1 step
2	F,G:(x:AB(x)B(x)). InvFuns(A;A';f;g) & (u:A. InvFuns(B(u);B(u);F(u);G(u)))	3 steps