Nuprl - Pf list all is member lemma 1 2 2 1

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At: list all is member lemma 1 2 2 1

1. T: Type
2. eq: {T=}
3. eq TT
4. x,y:T. eq(x,y) x = y
5. P: TProp
6. L: T List
7. u: T
8. v: T List
9. (z:T. z(eq) v P(z)) xv.P(x)
10. z:T. z(eq) (u.v) P(z)

x(u.v).P(x)

By: Rewrite (HigherC list_all_unrollC) 0 THEN Analyze 0

Generated subgoals:

1 P(u)

2 xv.P(x)

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