Theorems · Theorem · global analysis
differentiableOn_id
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {s : Set E}, DifferentiableOn 𝕜 id s- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- DifferentiableOnstatement · cited by 419
- Differentiable.differentiableOnproof · cited by 40
- differentiable_idproof · cited by 35
Cited by13
Results whose statement or proof uses this declaration.
- differentiable_riemannZeta₀proof · cited by 5
- Complex.differentiableOn_update_limUnder_of_isLittleOproof · cited by 4
- PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExceptproof · cited by 3
- PeriodPair.differentiableOn_weierstrassPExceptproof · cited by 3
- ModularForm.differentiableOn_tprod_one_sub_powproof · cited by 2
- PeriodPair.differentiableOn_derivWeierstrassPExceptproof · cited by 2
- DiffContOnCl.circleAverage_re_herglotzRieszKernel_smulproof · cited by 2
- differentiableOn_negproof · cited by 1
- tendsto_logDeriv_euler_sin_divproof · cited by 1
- EisensteinSeries.div_linear_zpow_differentiableOnproof · cited by 1
- DifferentiableOn.iterateproof · cited by 0
- differentiableOn_iteratedDerivWithin_cotTermproof · cited by 0