theorem
(
Prod_Measure (L-Meas 3) = Prod_Measure (
(Prod_Measure (L-Meas,L-Meas)),
L-Meas) & ( for
E1,
E2,
E3 being
Element of
L-Field holds
(
[:E1,E2,E3:] in measurable_rectangles (
(sigma (measurable_rectangles (L-Field,L-Field))),
L-Field) &
(Prod_Measure (L-Meas 3)) . [:E1,E2,E3:] = ((L-Meas . E1) * (L-Meas . E2)) * (L-Meas . E3) ) ) )