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At: is member remove lemma 1 2 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. u: T
8. v: T List
9. x(eq) v (M,N:T List. v = (M @ (x.N)) & remove(eq;x;v) = (M @ N))
10. eq(x,u) = true

True (M,N:T List. u.v = (M @ (x.N)) & v = (M @ N))

By:
Analyze 0
THEN
Thin -1
THEN
Witness nil
THEN
Witness v


Generated subgoal:

1 u.v = (nil @ (x.v)) & v = (nil @ v)

About:
listconsnilboolbtrueassertapplyfunctionuniverse
equalmemberimpliesandtrueall
exists

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