theorem Th48: :: LPSPACE2:48

for X being non empty set
for S being SigmaField of X
for M being sigma_Measure of S
for f, g being PartFunc of X,REAL
for k being positive Real st f in Lp_Functions (M,k) & g in Lp_Functions (M,k) & f a.e.= g,M holds
Integral (M,((abs f) to_power k)) = Integral (M,((abs g) to_power k))