Theorems · Theorem · real analysis

Filter.EventuallyEq.iteratedDerivWithin_eq_of_nhds_insert

∀ {𝕜 : Type u_7} {F : Type u_8} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup F]
  [inst_2 : NormedSpace 𝕜 F] (n : ℕ) {f g : 𝕜 → F} {x : 𝕜} {s : Set 𝕜},
  f =ᶠ[nhdsWithin x (insert x s)] g → iteratedDerivWithin n f s x = iteratedDerivWithin n g s x

Defined in

Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas

Cited by

1 results in Mathlib

Foundations

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

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace