theorem Th82: :: MESFUNC6:82

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 st ex A being Element of S st
( A = dom f & f is A -measurable ) & f is nonnegative holds
Integral (M,f) = integral+ (M,(R_EAL f)) by MESFUNC5:88;