Mathlib Map

Theorems · Theorem · several complex variables

analyticOn_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},
  AnalyticOn 𝕜 (fun x => v) s
Defined in
Mathlib.Analysis.Analytic.Constructions
Cited by
2 results in Mathlib
Foundations
Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Complex.one_add_cpow_hasFPowerSeriesOnBall_zero · cited by 3Complex.one_add_cpow_hasF…ValueDistribution.logCounting_add_const · cited by 1ValueDistribution.logCoun…Set · cited by 53352SetNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldAnalyticOn · cited by 161AnalyticOnAnalyticOnNhd.analyticOn · cited by 23AnalyticOnNhd.analyticOnanalyticOnNhd_const · cited by 11analyticOnNhd_constanalyticOn_constCITED BYCITES

Cites7

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Cited by2

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