Theorems · Theorem · sequences and series

summable_const_iff

∀ {β : Type u_2} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : AddCommGroup G] [IsTopologicalAddGroup G]
  [Infinite β] [T2Space G] (a : G), (Summable fun x => a) ↔ a = 0

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

1 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddCommGroupIsTopologicalAddGroupInfiniteT2Space