(16steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: is member append lemma1 1

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

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

By:
ListInd -3
THEN
Reduce 0


Generated subgoals:

1 False (M,N:T List, y:T. eq(x,y) & nil = (M @ (y.N)))
29. u: T
10. v: T List
11. x(eq) v (M,N:T List, y:T. eq(x,y) & v = (M @ (y.N)))
if eq(x,u) true else x(eq) v fi (M,N:T List, y:T. eq(x,y) & u.v = (M @ (y.N)))

About:
listconsnilboolbtrueifthenelseassertapply
functionuniverseequalmemberimpliesfalseall
exists

(16steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc