Theorems · Theorem · real analysis
iteratedDeriv_eq_iteratedFDeriv
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {n : ℕ} {f : 𝕜 → F} {x : 𝕜}, iteratedDeriv n f x = (iteratedFDeriv 𝕜 n f x) fun x => 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousMultilinearMapstatement · cited by 1,016
- iteratedFDerivstatement · cited by 211
- iteratedDerivstatement · cited by 188
Cited by4
Results whose statement or proof uses this declaration.
- AnalyticAt.hasFPowerSeriesAtproof · cited by 7
- iteratedFDeriv_apply_eq_iteratedDeriv_mul_prodproof · cited by 2
- taylor_mean_remainder_lagrange_iteratedDerivproof · cited by 1
- AbsolutelyMonotoneOn.of_contDiffproof · cited by 0