At:
not list all 2 implies exists not1211111112
1.
T: Type
2.
eq: {T}
3.
P: T
4.
L: T List
5.
u: T
6.
v: T List
7.
xv.P(x) (x:{x:T| x(eq) v }. P(x))
8.
(P(u) & xv.P(x))
9.
(P(u) & xv.P(x)) P(u) xv.P(x)
10.
P(u)
if true true else u(eq) v fi
By:
Reduce 0
THEN
Trivial
Generated subgoals:
}
x
(
x:{x:T| x(
if true
true
