Nuprl - Pf not list all not iff list exists 1 1 2 1 1

(23steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: not list all not iff list exists 1 1 2 1 1

1. T: Type
2. P: TProp
3. x:T. Dec(P(x))
4. L: T List
5. u: T
6. v: T List
7. xv.(P(x)) xv.P(x)
8. (P(u) & xv.(P(x)))
9. (P(u) & xv.(P(x))) P(u) xv.(P(x))

P(u) xv.P(x)

By: Witness3 u

Generated subgoal:

1 3. L: T List
4. u: T
5. v: T List
6. xv.(P(x)) xv.P(x)
7. (P(u) & xv.(P(x)))
8. (P(u) & xv.(P(x))) P(u) xv.(P(x))
9. Dec(P(u))
P(u) xv.P(x)

About:

(23steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc