Mathlib Map

Theorems · Theorem · several complex variables

hasFiniteFPowerSeriesAt_const

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] {c : F} {e : E},
  HasFiniteFPowerSeriesAt (fun x => c) (constFormalMultilinearSeries 𝕜 E c) e 1
Defined in
Mathlib.Analysis.Analytic.CPolynomial
Cited by
1 results in Mathlib
Foundations
Depth 175 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.

CPolynomialAt_const · cited by 1CPolynomialAt_constNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceTop.top · cited by 9680Top.topNontriviallyNormedField · cited by 8742NontriviallyNormedFieldHasFiniteFPowerSeriesAt · cited by 23HasFiniteFPowerSeriesAtconstFormalMultilinearSeries · cited by 17constFormalMultilinearSer…hasFiniteFPowerSeriesOnBall_const · cited by 1hasFiniteFPowerSeriesOnBa…hasFiniteFPowerSeriesAt_constCITED BYCITES

Cites7

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Cited by1

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