Nuprl - Pf is member append lemma 1 2

(15steps) PrintForm Definitions list 3 jlc Sections Support(jlc) Doc

At: is member append lemma 1 2

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. 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)))

By: GenConcl (eq(x,u) = b) THEN BoolInd -2 THEN Rewrite (HigherC ifthenelse_evalC THENC TryC (HigherC assert_evalC)) 0

Generated subgoals:

1 10. eq(x,u) = true
True (M,N:T List. u.v = (M @ (x.N)))

2 10. eq(x,u) = false
x(eq) v (M,N:T List. u.v = (M @ (x.N)))

About:

(15steps) PrintForm Definitions list 3 jlc Sections Support(jlc) Doc