theorem Th40: :: MESFUN15:38

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, B, E being Element of S st E = dom f & f is E -measurable & f is nonpositive & A c= B holds
Integral (M,(f | A)) >= Integral (M,(f | B))