Theorems · Theorem · real analysis
iteratedDerivWithin_univ
∀ {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}, iteratedDerivWithin n f Set.univ = iteratedDeriv n f- Cited by
- 16 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.
Cites11
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
- Set.univstatement and proof · cited by 3,945
- ContinuousMultilinearMapproof · cited by 1,016
- iteratedFDerivproof · cited by 211
- iteratedDerivstatement and proof · cited by 188
- iteratedFDerivWithinproof · cited by 147
- iteratedDerivWithinstatement · cited by 122
- iteratedFDerivWithin_univproof · cited by 19
Cited by16
Results whose statement or proof uses this declaration.
- iteratedDeriv_succproof · cited by 18
- iteratedDeriv_eq_iterateproof · cited by 8
- iteratedDeriv_addproof · cited by 3
- iteratedDeriv_mulproof · cited by 2
- iteratedDeriv_comp_const_smulproof · cited by 1
- iteratedDeriv_const_smulproof · cited by 1
- iteratedDeriv_const_smul_fieldproof · cited by 1
- MeasureTheory.taylorWithinEval_charFun_zeroproof · cited by 1
- iteratedDeriv_mul_const_fieldproof · cited by 1
- iteratedDeriv_powproof · cited by 1
- iteratedDeriv_subproof · cited by 1
- iteratedDeriv_sumproof · cited by 1