Theorems · Theorem · several complex variables
analyticOnNhd_const
∀ {𝕜 : Type u_2} [inst : NontriviallyNormedField 𝕜] {E : Type u_3} {F : Type u_4} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {v : F} {s : Set E},
AnalyticOnNhd 𝕜 (fun x => v) s- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 11 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.
Cites6
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
- AnalyticOnNhdstatement · cited by 206
- analyticAt_constproof · cited by 70
Cited by11
Results whose statement or proof uses this declaration.
- contDiff_constproof · cited by 36
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- meromorphicNFOn_toMeromorphicNFOnproof · cited by 5
- Function.FactorizedRational.meromorphicNFOn_univproof · cited by 3
- analyticOn_constproof · cited by 2
- circleAverage_log_norm_factorizedRationalproof · cited by 1
- AnalyticAt.eventually_constant_or_nhds_le_map_nhdsproof · cited by 1
- AnalyticOnNhd.is_constant_or_isOpenproof · cited by 1
- DiffContOnCl.ball_subset_image_closedBallproof · cited by 1
- circleIntegrable_log_norm_factorizedRationalproof · cited by 1
- contDiff_zero_funproof · cited by 0