Theorems · Theorem · sequences and series

HasSum.div_const

∀ {ι : Type u_1} {α : Type u_3} {L : SummationFilter ι} [inst : DivisionSemiring α] [inst_1 : TopologicalSpace α]
  [IsTopologicalSemiring α] {f : ι → α} {a : α}, HasSum f a L → ∀ (b : α), HasSum (fun i => f i / b) (a / b) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Ring

Cited by

18 results in Mathlib

Foundations

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

Assumes

DivisionSemiringTopologicalSpaceIsTopologicalSemiring