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At: hd is member lemma 1 2 1 1

1. T: Type
2. eq: {T}
3. L: T List
4. u: T
5. v: T List
6. ||v||1 hd(v)(eq) v
7. ||u.v||1

if eq(u,u) true else u(eq) v fi

By: Equivalence 2

Generated subgoal:

13. 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
if eq(u,u) true else u(eq) v fi

About:
listconsbtrueifthenelseassertnatural_numberapplyuniverseimplies

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