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Theorems · Theorem · functional analysis

constFormalMultilinearSeries_apply_of_nonzero

∀ {𝕜 : Type u} {E : Type v} {F : Type w} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedAddCommGroup F] [inst_3 : NormedSpace 𝕜 E] [inst_4 : NormedSpace 𝕜 F] {c : F} {n : ℕ},
  n ≠ 0 → constFormalMultilinearSeries 𝕜 E c n = 0
Defined in
Mathlib.Analysis.Calculus.FormalMultilinearSeries
Cited by
2 results in Mathlib
Foundations
Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedAddCommGroupNormedSpaceNormedSpace
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Around this declaration

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

hasFPowerSeriesOnBall_const · cited by 4hasFPowerSeriesOnBall_con…hasFiniteFPowerSeriesOnBall_const · cited by 1hasFiniteFPowerSeriesOnBa…NormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousMultilinearMap · cited by 1016ContinuousMultilinearMapconstFormalMultilinearSeries · cited by 17constFormalMultilinearSer…constFormalMultilinearSeries_…CITED BYCITES

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Cited by2

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