Nuprl - Pf list exists is member append lemma 1 1 1 2 1 2 1

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At: list exists is member append lemma 1 1 1 2 1 2 1

1. T: Type
2. P: TProp
3. L: T List
4. u: T
5. v: T List
6. xv.P(x) (M,N:T List, x:T. P(x) & v = (M @ (x.N)))
7. xv.P(x)
8. M: T List
9. N: T List
10. x: T
11. P(x)
12. v = (M @ (x.N))

M,N:T List, x:T. P(x) & u.v = (M @ (x.N))

By: HypSubst -1 0

Generated subgoal:

1 M@0,N@0:T List, x@0:T. P(x@0) & u.(M @ (x.N)) = (M@0 @ (x@0.N@0))

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(22steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc