Nuprl - Proof: finite choice 1 1

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At: finite choice 1 1

1. A : Type
2. k :

3.

k1:

.
3. k1<k
3.

3. (

Q:(

k1

A

Prop).
3. ((

x:

k1.

y:A. Q(x;y))

(

f:(

k1

A).

x:

k1. Q(x;f(x))))
4. Q :

k

A

Prop
5.

x:

k.

y:A. Q(x;y)
6. k = 0

f:(

k

A).

x:

k. Q(x;f(x))

By:	Witness: x.whatever

Generated subgoals:

None

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(15steps total) Remark PrintForm Definitions DiscreteMath Sections DiscrMathExt Doc