 reserve a,b,r for Complex;
 reserve V for ComplexLinearSpace;
reserve A,B for non empty set;
reserve f,g,h for Element of PFuncs(A,COMPLEX);
reserve u,v,w for VECTOR of CLSp_PFunctA;
reserve X for non empty set,
  x for Element of X,
  S for SigmaField of X,
  M for sigma_Measure of S,
  E,E1,E2,A,B for Element of S,
  f,g,h,f1,g1 for PartFunc of X,COMPLEX;
reserve v,u for VECTOR of CLSp_L1Funct M;

theorem
  0.(CLSp_L1Funct M) = X-->0c & 0.(CLSp_L1Funct M) in
  AlmostZeroCFunctions M
proof
  thus 0.(CLSp_L1Funct M) = X --> 0c by Lm3,SUBSET_1:def 8;
  X-->0c a.e.cpfunc= X-->0c,M & 0.(CLSp_L1Funct M) = 0.(CLSp_PFunctX)
  by Lm3,Th22,SUBSET_1:def 8;
  hence thesis;
end;
