theorem
for
h,
x being
Real for
f1,
f2 being
Function of
REAL,
REAL for
S being
Seq_Sequence st ( for
n,
i being
Nat st
i <= n holds
(S . n) . i = ((n choose i) * (((cdif (f1,h)) . i) . (x + ((n -' i) * (h / 2))))) * (((cdif (f2,h)) . (n -' i)) . (x - (i * (h / 2)))) ) holds
(
((cdif ((f1 (#) f2),h)) . 1) . x = Sum (
(S . 1),1) &
((cdif ((f1 (#) f2),h)) . 2) . x = Sum (
(S . 2),2) )