Nuprl - Pf list exists is member append lemma 1 1 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. x(u.v).P(x)

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

By: AbReduce -1 THEN Analyze -1

Generated subgoals:

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

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

About:

1	7. `P(u)` `M,N:T List, x:T. P(x) & u.v = (M @ (x.N))`
2	7. `xv.P(x)` `M,N:T List, x:T. P(x) & u.v = (M @ (x.N))`