Theorems · Theorem · real analysis

iteratedDerivWithin_comp_const_sub

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] {n : ℕ} {s : Set 𝕜} {f : 𝕜 → F} (c : 𝕜),
  iteratedDerivWithin n (fun z => f (c - z)) s = fun x => (-1) ^ n • iteratedDerivWithin n f (c +ᵥ -s) (c - x)

Defined in

Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas

Cited by

0 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace