Theorems · Theorem · sequences and series

Summable.tsum_vanishing

∀ {α : Type u_1} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : AddCommGroup G] [IsTopologicalAddGroup G]
  {f : α → G}, Summable f → ∀ ⦃e : Set G⦄, e ∈ nhds 0 → ∃ s, ∀ (t : Set α), Disjoint t ↑s → ∑' (b : ↑t), f ↑b ∈ e

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

1 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommGroupIsTopologicalAddGroup