Theorems · Theorem · sequences and series

HasSum.summable

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β}
  {f : β → α} {a : α}, HasSum f a L → Summable f L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Defs

Cited by

98 results in Mathlib

Foundations

Depth 58 from the axioms, rests on 924 definitions · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpace