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Theorems · Theorem · functional analysis

constFormalMultilinearSeries_zero

∀ {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],
  constFormalMultilinearSeries 𝕜 E 0 = 0
Defined in
Mathlib.Analysis.Calculus.FormalMultilinearSeries
Cited by
1 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.

FormalMultilinearSeries.zero_radius · cited by 0FormalMultilinearSeries.z…DFunLike.coe · cited by 62936DFunLike.coeNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldFormalMultilinearSeries · cited by 615FormalMultilinearSerieszero_apply · cited by 251zero_applyContinuousMultilinearMap.ext · cited by 62ContinuousMultilinearMap.…FormalMultilinearSeries.ext · cited by 39FormalMultilinearSeries.e…constFormalMultilinearSeries · cited by 17constFormalMultilinearSer…constFormalMultilinearSeries_…CITED BYCITES

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Cited by1

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