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

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

At: list exists is member append lemma 1 1 1

1. T: Type
2. P: TProp
3. L: T List

xL.P(x) (M,N:T List, x:T. P(x) & L = (M @ (x.N)))

By: ListInd -1

Generated subgoals:

1 xnil.P(x) (M,N:T List, x:T. P(x) & nil = (M @ (x.N)))

2 4. u: T
5. v: T List
6. xv.P(x) (M,N:T List, x:T. P(x) & v = (M @ (x.N)))
x(u.v).P(x) (M,N:T List, x:T. P(x) & u.v = (M @ (x.N)))

About:

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

1	`xnil.P(x) (M,N:T List, x:T. P(x) & nil = (M @ (x.N)))`
2	4. `u:` `T` 5. `v:` `T List` 6. `xv.P(x) (M,N:T List, x:T. P(x) & v = (M @ (x.N)))` `x(u.v).P(x) (M,N:T List, x:T. P(x) & u.v = (M @ (x.N)))`