Theorems · Theorem · complex analysis

FormalMultilinearSeries.ofScalars_apply_zero

∀ {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) (n : ℕ),
  ((FormalMultilinearSeries.ofScalars E c n) fun x => 0) = Pi.single 0 (c 0 • 1) n

Defined in

Mathlib.Analysis.Analytic.OfScalars

Cited by

1 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldRingAlgebraTopologicalSpaceIsTopologicalRing