:: deftheorem defines a.e-eq-class LPSPACE1:def 13 :
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 holds a.e-eq-class (f,M) = { g where g is PartFunc of X,REAL : ( g in L1_Functions M & f in L1_Functions M & f a.e.= g,M ) } ;