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At: hd is member lemma 1 2 1 1 1 2

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||1 hd(v)(eq) v
11. ||u.v||1
12. eq(u,u) = false

u(eq) v

By: Witness4 u

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||1 hd(v)(eq) v
10. ||u.v||1
11. eq(u,u) = false
12. eq(u,u)
u(eq) v

About:
listconsboolbfalseassertnatural_numberapply
functionuniverseequalmemberimplies
all

(11steps) PrintForm Definitions list 3 jlc Sections Support(jlc) Doc