Theorems · Theorem · complex analysis

FormalMultilinearSeries.ofScalars_sub

∀ {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 c' : ℕ → 𝕜),
  FormalMultilinearSeries.ofScalars E (c - c') =
    FormalMultilinearSeries.ofScalars E c - FormalMultilinearSeries.ofScalars E c'

Defined in

Mathlib.Analysis.Analytic.OfScalars

Cited by

1 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldRingAlgebraTopologicalSpaceIsTopologicalRing