Theorems · Theorem · sequences and series

hasSum_mul_right_iff

∀ {ι : Type u_1} {α : Type u_3} {L : SummationFilter ι} [inst : DivisionSemiring α] [inst_1 : TopologicalSpace α]
  [IsTopologicalSemiring α] {f : ι → α} {a₁ a₂ : α}, a₂ ≠ 0 → (HasSum (fun i => f i * a₂) (a₁ * a₂) L ↔ HasSum f a₁ L)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Ring

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionSemiringTopologicalSpaceIsTopologicalSemiring