c0 is isometrically isomorphic to a subspace of Cantor-Lebesgue functions

We prove what the title of this note states, i.e., c0, 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-Rodríguez et al. 2012  [9]) on the lineability of this set of functions.