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Theorems · Theorem · complex analysis

ContinuousLinearMap.cpolynomialAt

∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {F : Type u_3} [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace 𝕜 F] (f : E →L[𝕜] F)
  (x : E), CPolynomialAt 𝕜 (⇑f) x
Defined in
Mathlib.Analysis.Analytic.Linear
Cited by
2 results in Mathlib
Foundations
Depth 183 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.

ContinuousMultilinearMap.cpolynomialAt_uncurry_of_linear · cited by 3ContinuousMultilinearMap.…ContinuousLinearMap.cpolynomialOn · cited by 0ContinuousLinearMap.cpoly…DFunLike.coe · cited by 62936DFunLike.coeRingHom.id · cited by 18349RingHom.idNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousLinearMap · cited by 5352ContinuousLinearMapCPolynomialAt · cited by 28CPolynomialAtHasFiniteFPowerSeriesOnBall.cpolynomialAt · cited by 4HasFiniteFPowerSeriesOnBa…ContinuousLinearMap.hasFiniteFPowerSeriesOnBall · cited by 2ContinuousLinearMap.hasFi…ContinuousLinearMap.cpolynomi…CITED BYCITES

Cites9

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Cited by2

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