2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159866We prove that the order $k$ differentiability classes for $k=0,1,...\infty$ in the "arc-generated" interpretation of the Lipschitz theory of differentiation by Frolicher and Kriegl can be obtained as particular cases of the general construction by Bertram, Glockner and Neeb leading to $C^k$ differentiabilities from a given $C^0$ concept.8 pages, AmS-LaTeXFunctional Analysis46T20, 46G05 (Primary); 58C25, 58C20, 46A17 (Secondary)text