Nuprl - Pf is member append lemma 1

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At: is member append lemma 1

1. T: Type
2. eq: {T=}
3. eq TT
4. x,y:T. eq(x,y) x = y
5. L: T List
6. x: T
7. x(eq) L

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

By: ListInd 5 THEN Rewrite (HigherC is_member_unrollC THENC TryC (HigherC assert_evalC)) 0

Generated subgoals:

1 False (M,N:T List. nil = (M @ (x.N)))

2 7. u: T
8. v: T List
9. x(eq) v (M,N:T List. v = (M @ (x.N)))
if eq(x,u) true else x(eq) v fi (M,N:T List. u.v = (M @ (x.N)))

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