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At: append is member lemma 1

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

x(eq) L

By:
ListInd 5
THEN
Rewrite (HigherC is_member_unrollC THENC TryC (HigherC assert_evalC)) 0


Generated subgoals:

1 (M,N:T List. nil = (M @ (x.N))) False
27. u: T
8. v: T List
9. (M,N:T List. v = (M @ (x.N))) x(eq) v
(M,N:T List. u.v = (M @ (x.N))) if eq(x,u) true else x(eq) v fi

About:
listconsnilboolbtrueifthenelseassertapply
functionuniverseequalmemberimpliesfalseall
exists

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