Theorems · Theorem · complex analysis

FormalMultilinearSeries.ofScalars_comp_neg

∀ {𝕜 : Type u_1} (E : Type u_2) [inst : Field 𝕜] [inst_1 : Ring E] [inst_2 : Algebra 𝕜 E] [inst_3 : TopologicalSpace E]
  [inst_4 : IsTopologicalRing E] (c : ℕ → 𝕜) (f : E →L[𝕜] E),
  (FormalMultilinearSeries.ofScalars E c).compContinuousLinearMap (-f) =
    (FormalMultilinearSeries.ofScalars E fun k => (-1) ^ k * c k).compContinuousLinearMap f

Defined in

Mathlib.Analysis.Analytic.OfScalars

Cited by

0 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldRingAlgebraTopologicalSpaceIsTopologicalRing