Nuprl - Pf list exists is member lemma 2 2 1

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At: list exists is member lemma 2 2 1

1. T: Type
2. eq: TT
3. (x,y:T. eq(x,y) x = y) & eq TT
4. P: TProp
5. L: T List
6. u: T
7. v: T List
8. yv.P(y) (x:T. x(eq) v & P(x))
9. P(u) yv.P(y)

x:T. x(eq) (u.v) & P(x)

By: Analyze 9

Generated subgoals:

1 9. P(u)
x:T. x(eq) (u.v) & P(x)

2 9. yv.P(y)
x:T. x(eq) (u.v) & P(x)

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(35steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc