theorem Th84: :: MESFUNC5:84

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 E, A being Element of S st f is nonnegative & E = dom f & f is E -measurable & M . A = 0 holds
integral+ (M,(f | (E \ A))) = integral+ (M,f)