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At: list exists is member lemma1 1 1 1

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

yL.P(y)

By: ListInd 6

Generated subgoals:

17. P(x)
x(eq) nil ynil.P(y)
27. P(x)
8. u: T
9. v: T List
10. x(eq) v yv.P(y)
x(eq) (u.v) y(u.v).P(y)

About:
listconsnilboolassertapplyfunctionuniverse
equalmemberpropimpliesandall

(18steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc