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);
reserve x for Point of Pre-Lp-Space(M,k);
reserve x,y for Point of Lp-Space(M,k);

theorem
for X be non empty set, S be SigmaField of X, M be sigma_Measure of S holds
  L-1-Space M = Lp-Space(M,1)
proof
   let X be non empty set,
       S be SigmaField of X,
       M be sigma_Measure of S;
   Pre-L-Space M = Pre-Lp-Space(M,1) by Th75;
   hence thesis by Th76;
end;
