Theorems · Theorem · real analysis

iteratedDerivWithin_const

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {n : ℕ} {c : F} {s : Set 𝕜} {x : 𝕜},
  iteratedDerivWithin n (fun x => c) s x = if n = 0 then c else 0

Defined in

Mathlib.Analysis.Calculus.IteratedDeriv.Defs

Cited by

3 results in Mathlib

Foundations

Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace