Nuprl - Pf list all is member lemma 1 1 2

(29steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: list all is member lemma 1 1 2

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. z: T
8. u: T
9. v: T List
10. xv.P(x) z(eq) v P(z)

x(u.v).P(x) z(eq) (u.v) P(z)

By: UnivCD THEN Decide (eq(z,u))

Generated subgoals:

1 11. x(u.v).P(x)
12. z(eq) (u.v)
13. eq(z,u)
P(z)

2 11. x(u.v).P(x)
12. z(eq) (u.v)
13. eq(z,u)
P(z)

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(29steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc