Nuprl - Proof: indep fun description 1

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At: indep fun description 1

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

Prop
4.

x:A.

!y:B. P(x,y)

f:(A

B).

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

By:	(4) Def of !y:B. P(x,y) THEN FwdThru: Thm* (x:A. y:B. Q(x,y)) (f:(AB). x:A. Q(x,f(x))) on [ x:A. y:B. y is the y:B. P(x,y) ]

Generated subgoal:

1 4. x:A. y:B. y is the y:B. P(x,y)
5. f:(AB). x:A. f(x) is the y:B. P(x,y)
f:(AB). x:A. P(x,f(x))
3 steps

About:

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