is isometrically isomorphic to a subspace of Cantor–Lebesgue functions

We prove what the title of this note states, i.e., c 0 , that is, the set of all sequences converging to 0 , is isometrically isomorphic to a subspace of continuous almost everywhere differentiable (and non-Lipschitz) functions on [ 0 , 1 ] having almost everywhere null derivative. This, in particular, improves a recent result (Jiménez-Rodrيguez et al. 2012  [9]) on the lineability of this set of functions.