Theorems · Theorem · real analysis
Filter.EventuallyEq.iteratedDeriv_eq
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] (n : ℕ) {f g : 𝕜 → F} {x : 𝕜}, f =ᶠ[nhds x] g → iteratedDeriv n f x = iteratedDeriv n g x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- nhdsstatement and proof · cited by 5,554
- Set.univproof · cited by 3,945
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ContinuousMultilinearMapproof · cited by 1,016
- iteratedDerivstatement · cited by 188
- iteratedFDerivWithinproof · cited by 147
- nhdsWithin_le_nhdsproof · cited by 145
- Filter.EventuallyEq.filter_monoproof · cited by 59
Cited by2
Results whose statement or proof uses this declaration.
- iteratedDeriv_succ_logproof · cited by 1
- Set.EqOn.iteratedDeriv_of_isOpenproof · cited by 1