(19steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: is intersection implies exists element 1

1. T: Type
2. eq: {T=}
3. L: T List
4. M: T List
5. L(eq)M

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

By:
ListInd 3
THEN
Reduce 0


Generated subgoals:

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

About:
listbtrueifthenelseassertset
applyuniverseimpliesorfalseexists

(19steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc