theorem Th42: :: LPSPACC1:42

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,COMPLEX
for x being Point of (Pre-L-CSpace M) st f in x & g in x holds
( f a.e.cpfunc= g,M & Integral (M,f) = Integral (M,g) & Integral (M,(abs f)) = Integral (M,(abs g)) )