theorem Th62:
  for X be non empty TopSpace, T be NormedLinearTopSpace holds
  0.R_VectorSpace_of_C_0_Functions(X,T) = X -->0.T
proof
  let X be non empty TopSpace, T be NormedLinearTopSpace;
A1:R_VectorSpace_of_C_0_Functions(X,T) is
    Subspace of RealVectSpace(the carrier of X,T) by RSSPACE:11;
  0.RealVectSpace(the carrier of X,T) = X -->0.T;
  hence thesis by A1,RLSUB_1:11;
end;
