Nuprl - Pf list exists exists 1 2 2 1 1

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At: list exists exists 1 2 2 1 1

1. T: Type
2. eq: {T=}
3. P: TType
4. L: T List
5. u: T
6. v: T List
7. xv.P(x) (x:{x:T| x(eq) v }. P(x))
8. xv.P(x) (x:{x:T| x(eq) v }. P(x))
9. x: T
10. if eq(x,u) true else x(eq) v fi
11. P(x)

P(u) xv.P(x)

By: Decide1 (x = u)

Generated subgoals:

1 Dec(x = u)

2 12. x = u
P(u) xv.P(x)

3 12. x = u
P(u) xv.P(x)

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(47steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc