theorem Th24: :: MESFUN14:24

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 being Element of S st E = dom f & f is nonnegative & f is E -measurable & Integral (M,f) = 0 holds
M . (E /\ (great_dom (f,0))) = 0