Theorems · Theorem · sequences and series

Summable.update

∀ {α : Type u_1} {β : Type u_2} {L : SummationFilter β} [inst : AddCommGroup α] [inst_1 : TopologicalSpace α]
  [IsTopologicalAddGroup α] {f : β → α} [L.LeAtTop],
  Summable f L → ∀ (b : β) [inst_4 : DecidableEq β] (a : α), Summable (Function.update f b a) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceIsTopologicalAddGroupSummationFilter.LeAtTopDecidableEq