Nuprl - Proof: partition type 1 1 2 1

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At: partition type 1 1 2 1

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

Prop
4.

x:A.

!y:B. P(x;y)
5. f : A

B
6.

x:A. P(x;f(x))
7. u : y:B

{x:A| P(x;y) }

<f(2of(u)),2of(u)> = u

y:B

{x:A| P(x;y) }

By:

Analyze-1

Generated subgoal:

1 7. y : B
8. u1 : {x:A| P(x;y) }
<f(2of(<y,u1>)),2of(<y,u1>)> = <y,u1> y:B{x:A| P(x;y) }
7 steps

About:

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