Theorems · Definition · complex analysis

FormalMultilinearSeries.ofScalars

{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] → (ℕ → 𝕜) → FormalMultilinearSeries 𝕜 E E

Formal power series of ∑ cᵢ • xⁱ for some scalar field 𝕜 and ring algebra E

Defined in

Mathlib.Analysis.Analytic.OfScalars

Cited by

68 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldRingAlgebraTopologicalSpaceIsTopologicalRing