Theorems · Theorem · sequences and series

Summable.add

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f g : β → α}
  {L : SummationFilter β} [ContinuousAdd α], Summable f L → Summable g L → Summable (fun b => f b + g b) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

7 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceContinuousAdd