Nuprl - Pf list exists exists 1 2

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

At: list exists exists 1 2

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))

P(u) xv.P(x) (x:{x:T| if eq(x,u) true else x(eq) v fi }. P(x))

By: Auto

Generated subgoals:

1 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. P(u) xv.P(x)
x:{x:T| if eq(x,u) true else x(eq) v fi }. P(x)

2 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:{x:T| if eq(x,u) true else x(eq) v fi }. P(x)
P(u) xv.P(x)

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