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At: non nil is member 1 2 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. u: T
9. v: T List
10. v nil (x:T. x(eq) v)
11. u.v nil

u(eq) (u.v)

By:
Witness4 u
THEN
FwdThru Thm* P:. P P = true [-1]


Generated subgoal:

14. x,y:T. eq(x,y) eq(y,x)
5. x,y,z:T. eq(x,y) eq(y,z) eq(x,z)
6. L: T List
7. u: T
8. v: T List
9. v nil (x:T. x(eq) v)
10. u.v nil
11. eq(u,u)
12. eq(u,u) = true
u(eq) (u.v)

About:
listconsnilboolassertapplyfunctionuniversememberimpliesallexists

(9steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc