Theorems · Theorem · real analysis
norm_iteratedFDeriv_eq_norm_iteratedDeriv
∀ {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}, ‖iteratedFDeriv 𝕜 n f x‖ = ‖iteratedDeriv n f x‖- Cited by
- 2 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Norm.normstatement and proof · cited by 5,413
- ContinuousMultilinearMapstatement · cited by 1,016
- LinearIsometryEquiv.symmproof · cited by 287
- iteratedFDerivstatement and proof · cited by 211
- iteratedDerivstatement · cited by 188
- LinearIsometryEquiv.norm_mapproof · cited by 39
- ContinuousMultilinearMap.piFieldEquivproof · cited by 15
- iteratedDeriv_eq_equiv_compproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SchwartzMap.seminorm_le_bound'proof · cited by 0
- SchwartzMap.le_seminorm'proof · cited by 0