Theorems · Theorem · several complex variables
analyticAt_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} {x : E},
AnalyticAt 𝕜 (fun x => v) x- Defined in
- Mathlib.Analysis.Analytic.Constructions
- Cited by
- 70 results in Mathlib
- Foundations
- Depth 175 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- AnalyticAtstatement · cited by 321
- constFormalMultilinearSeriesproof · cited by 17
- hasFPowerSeriesAt_constproof · cited by 1
Cited by70
Results whose statement or proof uses this declaration.
- MeromorphicAt.constproof · cited by 36
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- meromorphicOrderAt_eq_top_iffproof · cited by 20
- MeromorphicAt.congrproof · cited by 12
- analyticOnNhd_constproof · cited by 11
- MeromorphicAt.invproof · cited by 9
- MeromorphicAt.addproof · cited by 8
- meromorphicOrderAt_constproof · cited by 7
- analyticWithinAt_constproof · cited by 6
- MeromorphicAt.meromorphicTrailingCoeffAt_zpowproof · cited by 5
- meromorphicNFAt_toMeromorphicNFAtproof · cited by 5
- analyticAt_sigmoidproof · cited by 5