Theorems · Theorem · sequences and series

Summable.tsum_sub

∀ {α : Type u_1} {β : Type u_2} {L : SummationFilter β} [inst : AddCommGroup α] [inst_1 : TopologicalSpace α]
  [IsTopologicalAddGroup α] {f g : β → α} [T2Space α] [L.NeBot],
  Summable f L → Summable g L → ∑'[L] (b : β), (f b - g b) = ∑'[L] (b : β), f b - ∑'[L] (b : β), g b

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

4 results in Mathlib

Foundations

Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceIsTopologicalAddGroupT2SpaceSummationFilter.NeBot