Theorems · Theorem · real analysis
iteratedDeriv_zero
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F}, iteratedDeriv 0 f = f- Cited by
- 34 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- iteratedDerivstatement · cited by 188
Cited by34
Results whose statement or proof uses this declaration.
- iteratedDeriv_constproof · cited by 3
- Real.iteratedDeriv_add_one_cosproof · cited by 3
- Real.iteratedDeriv_add_one_coshproof · cited by 3
- Real.iteratedDeriv_add_one_sinproof · cited by 3
- Real.iteratedDeriv_add_one_sinhproof · cited by 3
- Complex.iteratedDeriv_add_one_cosproof · cited by 3
- Complex.iteratedDeriv_add_one_coshproof · cited by 3
- Complex.iteratedDeriv_add_one_sinproof · cited by 3
- Complex.iteratedDeriv_add_one_sinhproof · cited by 3
- natCast_le_analyticOrderAt_iff_iteratedDeriv_eq_zeroproof · cited by 2
- iteratedDeriv_comp_add_constproof · cited by 2
- ProbabilityTheory.iteratedDeriv_mgfproof · cited by 2