Nuprl - Proof: unique fun description 1 1 1 1 1

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At: unique fun description 1 1 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)
8.

x:A. P(x,g(x))
9. x : A
10. P(x,g(x))
11. P(x,f(x))
12. y : B(x)
13. P(x,y)
14.

z:B(x). P(x,z)

z = y

g(x) = f(x)

By:	Inst: Hyp:14 Using:[g(x)] THEN Inst: Hyp:14 Using:[f(x)]

Generated subgoal:

1 15. g(x) = y
16. f(x) = y
g(x) = f(x)
Trivial

About:

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