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Theorems · Theorem · several complex variables

CPolynomialAt.continuousAt

∀ {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] {f : E → F} {x : E},
  CPolynomialAt 𝕜 f x → ContinuousAt f x
Defined in
Mathlib.Analysis.Analytic.CPolynomialDef
Cited by
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Foundations
Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpaceNormedAddCommGroupNormedSpace
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NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousAt · cited by 697ContinuousAtAnalyticAt.continuousAt · cited by 35AnalyticAt.continuousAtCPolynomialAt · cited by 28CPolynomialAtCPolynomialAt.analyticAt · cited by 7CPolynomialAt.analyticAtCPolynomialAt.continuousAtCITED BYCITES

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