theorem Th59: :: MESFUN11:59

for X being non empty set
for S being SigmaField of X
for M being sigma_Measure of S
for f being PartFunc of X,ExtREAL
for c being Real st f is_simple_func_in S & f is nonnegative holds
Integral (M,(c (#) f)) = c * (integral' (M,f))