proposition: Lemma diffX (f : V -> R) n x : differentiable f x -> 'd (f ^+ n.+1) x = n.+1%:R * f x ^+ n \*: 'd f x :> (V -> R).
proof: Proof. by move=> /differentiableP df; rewrite diff_val. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum matrix interval) mathcomp(mathcomp_extra boolp classical_sets functions) reals signed topology prodnormedzmodule normedtype landau forms