let X be non empty set ; :: thesis: for S being SigmaField of X
for M being sigma_Measure of S
for f being PartFunc of X,COMPLEX st f in L1_CFunctions M holds
f in a.e-Ceq-class (f,M)
let S be SigmaField of X; :: thesis: for M being sigma_Measure of S
for f being PartFunc of X,COMPLEX st f in L1_CFunctions M holds
f in a.e-Ceq-class (f,M)
let M be sigma_Measure of S; :: thesis: for f being PartFunc of X,COMPLEX st f in L1_CFunctions M holds
f in a.e-Ceq-class (f,M)
let f be PartFunc of X,COMPLEX; :: thesis: ( f in L1_CFunctions M implies f in a.e-Ceq-class (f,M) )
assume A1: f in L1_CFunctions M ; :: thesis: f in a.e-Ceq-class (f,M)
f a.e.cpfunc= f,M by Th22;
hence f in a.e-Ceq-class (f,M) by A1; :: thesis: verum