Theorems · Theorem · global analysis

HasFDerivWithinAt.iterate

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {x : E} {s : Set E} {f : E → E} {f' : E →L[𝕜] E},
  HasFDerivWithinAt f f' s x → f x = x → Set.MapsTo f s s → ∀ (n : ℕ), HasFDerivWithinAt f^[n] (f' ^ n) s x

Defined in

Mathlib.Analysis.Calculus.FDeriv.Comp

Cited by

2 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NontriviallyNormedFieldNormedAddCommGroupNormedSpace