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 → FThe n-th iterated derivative of a function from 𝕜 to F, as a function from 𝕜 to F.
- Cited by
- 188 results in Mathlib
- Foundations
- Depth 175 from the axioms, rests on 4,555 definitions · uses propext, Classical.choice, Quot.sound
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.
- 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
- iteratedFDerivproof · cited by 211
Cited by189
Results whose statement or proof uses this declaration.
- UpperHalfPlane.qExpansionproof · cited by 64
- iteratedDeriv_zerostatement · cited by 34
- iteratedDeriv_succstatement and proof · cited by 18
- iteratedDerivWithin_univstatement and proof · cited by 16
- iteratedDeriv_onestatement · cited by 16
- UpperHalfPlane.qExpansion_coeffstatement and proof · cited by 10
- iteratedDerivWithin_eq_iteratedDerivstatement and proof · cited by 9
- iteratedDeriv_eq_iteratestatement · cited by 8
- AnalyticAt.hasFPowerSeriesAtstatement and proof · cited by 7
- iteratedDeriv_succ'statement and proof · cited by 5
- iteratedDerivWithin_of_isOpenstatement · cited by 5
- iteratedDeriv_eq_iteratedFDerivstatement · cited by 4