
theorem
  for m be non zero Element of NAT, k be Element of NAT,
      X be non empty open Subset of REAL m
    holds
      0.R_Algebra_of_Ck_Functions(k,X) = X --> 0
proof
  let m be non zero Element of NAT, k be Element of NAT,
      X be non empty open Subset of REAL m;
  0.RAlgebra X = X --> 0;
  hence thesis by C0SP1:8;
end;
