Nuprl - Proof: unique fun description2 1 1 1

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At: unique fun description2 1 1 1

1. A : Type
2. B : A

Type
3. P : x:A

B(x)

Prop
4.

x:A.

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

B(x)
6.

x:A. P(x,f(x))
7.

g:(x:A

B(x)). (

x:A. P(x,g(x)))

g = f

{f:(x:A

B(x))|

x:A. P(x,f(x)) }

By:	Witness: f THEN Rename-1: g THEN Analyze-1

Generated subgoal:

1 8. g : x:AB(x)
9. x:A. P(x,g(x))
f = g {f:(x:AB(x))| x:A. P(x,f(x)) }
1 step

About:

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