reserve X for non empty set,
        x for Element of X,
        S for SigmaField of X,
        M for sigma_Measure of S,
        f,g,f1,g1 for PartFunc of X,REAL,
        l,m,n,n1,n2 for Nat,
        a,b,c for Real;
reserve k for positive Real;
reserve v,u for VECTOR of RLSp_LpFunct(M,k);
reserve v,u for VECTOR of RLSp_AlmostZeroLpFunct(M,k);

theorem Th38:
f in Lp_Functions(M,k) implies f in a.e-eq-class_Lp(f,M,k)
proof
   assume A1: f in Lp_Functions(M,k);
   f a.e.= f,M by LPSPACE1:28;
   hence thesis by A1;
end;
