Theorems · Theorem · sequences and series

Summable.countable_support

∀ {α : Type u_1} {G : Type u_4} [inst : TopologicalSpace G] [inst_1 : AddCommGroup G] [IsTopologicalAddGroup G]
  {f : α → G} [FirstCountableTopology G] [T1Space G], Summable f → (Function.support f).Countable

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

2 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceAddCommGroupIsTopologicalAddGroupFirstCountableTopologyT1Space