Mathlib Map

Theorems · Theorem · several complex variables

CPolynomialAt_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] {x : E} {v : F},
  CPolynomialAt 𝕜 (fun x => v) x
Defined in
Mathlib.Analysis.Analytic.CPolynomial
Cited by
1 results in Mathlib
Foundations
Depth 176 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.

CPolynomialOn_const · cited by 0CPolynomialOn_constNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldCPolynomialAt · cited by 28CPolynomialAtconstFormalMultilinearSeries · cited by 17constFormalMultilinearSer…hasFiniteFPowerSeriesAt_const · cited by 1hasFiniteFPowerSeriesAt_c…CPolynomialAt_constCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.