Theorems · Theorem · global analysis
AnalyticOnNhd.differentiableOn
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {F : Type v} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {f : E → F}
{s : Set E}, AnalyticOnNhd 𝕜 f s → DifferentiableOn 𝕜 f s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 186 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- DifferentiableOnstatement · cited by 419
- AnalyticOnNhdstatement and proof · cited by 206
- AnalyticAt.differentiableWithinAtproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- DifferentiableOn.derivproof · cited by 3
- Complex.analyticOnNhd_iff_differentiableOnproof · cited by 2
- AnalyticAt.eventually_constant_or_nhds_le_map_nhds_auxproof · cited by 1