At:
list all is member lemma1221111
1.
T: Type
2.
eq: {T=}
3.
eq TT
4.
x,y:T. eq(x,y) x = y
5.
P: TProp
6.
L: T List
7.
u: T
8.
v: T List
9.
(z:T. z(eq) v P(z)) xv.P(x)
10.
z:T. z(eq) (u.v) P(z)
if eq(u,u) true else u(eq) v fi
By:
With u (Analyze 4)
THEN
With u (Analyze -1)
THEN
Analyze -1
THEN
Thin -2
Generated subgoal:
4. P: TProp 5. L: T List 6. u: T 7. v: T List 8. (z:T. z(eq) v P(z)) xv.P(x) 9. z:T. z(eq) (u.v) P(z) 10. (eq(u,u)) (u = u) if eq(u,u) true else u(eq) v fi