
theorem
for X1,X2 be non empty set, S1 be SigmaField of X1, S2 be SigmaField of X2,
M1 be sigma_Measure of S1, M2 be sigma_Measure of S2,
F1 be FinSequence of S1, F2 be FinSequence of S2, n be Nat
 st n in dom F1 & n in dom F2 holds
  product_Measure(M1,M2).([:F1.n,F2.n:]) = M1.(F1.n) * M2.(F2.n) by Th5;
