Mathlib Map

Theorems · Theorem · several complex variables

hasFPowerSeriesAt_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] {c : F} {e : E},
  HasFPowerSeriesAt (fun x => c) (constFormalMultilinearSeries 𝕜 E c) e
Defined in
Mathlib.Analysis.Analytic.Constructions
Cited by
1 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

analyticAt_const · cited by 70analyticAt_constNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceTop.top · cited by 9680Top.topNontriviallyNormedField · cited by 8742NontriviallyNormedFieldHasFPowerSeriesAt · cited by 94HasFPowerSeriesAtconstFormalMultilinearSeries · cited by 17constFormalMultilinearSer…hasFPowerSeriesOnBall_const · cited by 4hasFPowerSeriesOnBall_con…hasFPowerSeriesAt_constCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.