Mathlib Map

Theorems · Definition · real analysis

iteratedDeriv

{𝕜 : Type u_1} →
  [inst : NontriviallyNormedField 𝕜] →
    {F : Type u_2} → [inst_1 : NormedAddCommGroup F] → [NormedSpace 𝕜 F] → ℕ → (𝕜 → F) → 𝕜 → F

The n-th iterated derivative of a function from 𝕜 to F, as a function from 𝕜 to F.

Defined in
Mathlib.Analysis.Calculus.IteratedDeriv.Defs
Cited by
188 results in Mathlib
Foundations
Depth 175 from the axioms, rests on 4,555 definitions · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by189

Results whose statement or proof uses this declaration.