Nuprl - Proof: card settype 1 1 2 3 1

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At: card settype 1 1 2 3 1

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

Prop
4. B' : A'

Prop
5. f : A

A'
6. Bij(A; A'; f)
7.

x:A. B(x)

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

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

x':A'. B(g(x'))

B'(x')
11. f

{x:A| B(x) }

{x:A'| B'(x) }
12. g

{x:A'| B'(x) }

{x:A| B(x) }

InvFuns({x:A| B(x) };{x:A'| B'(x) };f;g)

By:	SimilarTo: Hyp:9

Generated subgoals:

1 13. x : {x:A| B(x) }
14. g(f(x)) = x
g(f(x)) = x
2 steps

2 13. y : {x:A'| B'(x) }
14. f(g(y)) = y
f(g(y)) = y
2 steps

About:

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

1	13. x : {x:A\| B(x) } 14. g(f(x)) = x g(f(x)) = x	2 steps
2	13. y : {x:A'\| B'(x) } 14. f(g(y)) = y f(g(y)) = y	2 steps