theorem :: MESFUNC6:88

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,REAL
for A being Element of S st ex E being Element of S st
( E = dom f & f is E -measurable ) & M . A = 0 holds
Integral (M,(f | A)) = 0 by MESFUNC5:94;