At:
not disjoint is member lemma11121111112
1.
T: Type
2.
eq: {T=}
3.
eq TT
4.
x,y:T. eq(x,y) x = y
5.
L: T List
6.
u: T
7.
v: T List
8.
M:T List. disjoint(eq;v;M) (x:T. x(eq) v & x(eq) M)
9.
M: T List
10.
u(eq) M
11.
eq(u,u) = false
u(eq) v & u(eq) M
By:
Witness4 u
THEN
With u (Analyze -1)
Generated subgoal:
4. L: T List 5. u: T 6. v: T List 7. M:T List. disjoint(eq;v;M) (x:T. x(eq) v & x(eq) M) 8. M: T List 9. u(eq) M 10. eq(u,u) = false 11. eq(u,u) u = u u(eq) v & u(eq) M