Nuprl - Proof: card settype 1 1 2 3

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At: card settype 1 1 2 3

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) }

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

By:	Witness: f \| g

Generated subgoal:

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

About:

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