(21steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: not list all 2 implies exists not 1

1. T: Type
2. eq: {T}
3. P: T
4. L: T List
5. xL.P(x)

x:{x:T| x(eq) L }. P(x)

By:
ListInd 4
THEN
AbReduce 0


Generated subgoals:

1 True (x:{x:T| False }. P(x))
25. u: T
6. v: T List
7. xv.P(x) (x:{x:T| x(eq) v }. P(x))
(P(u)xv.P(x)) (x:{x:T| if eq(x,u) true else x(eq) v fi }. P(x))

About:
listboolbtrueifthenelseassertset
applyfunctionuniverseimpliesfalsetrueexists

(21steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc