Theorems · Theorem · real analysis
differentiableOn_const
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
[inst_3 : TopologicalSpace E] {F : Type u_3} [inst_4 : AddCommGroup F] [inst_5 : Module 𝕜 F]
[inst_6 : TopologicalSpace F] {s : Set E} (c : F), DifferentiableOn 𝕜 (fun x => c) s- Defined in
- Mathlib.Analysis.Calculus.FDeriv.Const
- Cited by
- 12 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_constproof · cited by 14
Cited by12
Results whose statement or proof uses this declaration.
- diffContOnCl_constproof · cited by 6
- PeriodPair.differentiableOn_weierstrassPExceptproof · cited by 3
- PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExceptproof · cited by 3
- PeriodPair.differentiableOn_derivWeierstrassPExceptproof · cited by 2
- InnerProductSpace.HarmonicOnNhd.exists_analyticOnNhd_univ_re_eqproof · cited by 1
- EisensteinSeries.div_linear_zpow_differentiableOnproof · cited by 1
- differentiableOn_intCastproof · cited by 0
- differentiableOn_natCastproof · cited by 0
- differentiableOn_ofNatproof · cited by 0
- differentiableOn_oneproof · cited by 0
- DifferentiableOn.cpow_constproof · cited by 0
- differentiableOn_zeroproof · cited by 0