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Theorems · Theorem · several complex variables

FormalMultilinearSeries.id_apply_zero

∀ (𝕜 : Type u_1) (E : Type u_2) [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] (x : E) (v : Fin 0 → E), (FormalMultilinearSeries.id 𝕜 E x 0) v = x
Defined in
Mathlib.Analysis.Analytic.Composition
Cited by
0 results in Mathlib
Foundations
Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NontriviallyNormedFieldNormedAddCommGroupNormedSpace
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DFunLike.coe · cited by 62936DFunLike.coeNormedAddCommGroup · cited by 15752NormedAddCommGroupNormedSpace · cited by 12499NormedSpaceNontriviallyNormedField · cited by 8742NontriviallyNormedFieldContinuousMultilinearMap · cited by 1016ContinuousMultilinearMapFormalMultilinearSeries.id · cited by 10FormalMultilinearSeries.idFormalMultilinearSeries.id_ap…CITED BYCITES

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