Theorems · Theorem · sequences and series

sum_eq_tsum_indicator

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] (f : β → α) (s : Finset β)
  (L : optParam (SummationFilter β) (SummationFilter.unconditional β)) [L.LeAtTop],
  ∑ x ∈ s, f x = ∑'[L] (x : β), (↑s).indicator f x

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

2 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceSummationFilter.LeAtTop