Theorems · Theorem · real analysis
iteratedDerivWithin_one
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {F : Type u_2} [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace 𝕜 F] {f : 𝕜 → F} {s : Set 𝕜}, iteratedDerivWithin 1 f s = derivWithin f s- Cited by
- 6 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpaceproof · cited by 24,529
- Moduleproof · cited by 20,661
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ContinuousMultilinearMapproof · cited by 1,016
- Filter.principalproof · cited by 740
- fderivWithinproof · cited by 357
- derivWithinstatement · cited by 258
Cited by6
Results whose statement or proof uses this declaration.
- hasDerivWithinAt_taylorWithinEvalproof · cited by 2
- iteratedDerivWithin_vcomp_threeproof · cited by 2
- iteratedDerivWithin_vcomp_twoproof · cited by 2
- taylor_integral_remainder_auxproof · cited by 2
- ProbabilityTheory.exists_cgf_eq_iteratedDeriv_two_cgf_mulproof · cited by 1
- trapezoidal_error_le_of_c2proof · cited by 0