Theorems · Theorem · sequences and series

HasSum.update

∀ {α : Type u_1} {β : Type u_2} {L : SummationFilter β} [inst : AddCommGroup α] [inst_1 : TopologicalSpace α]
  [IsTopologicalAddGroup α] {f : β → α} {a₁ : α} [L.LeAtTop],
  HasSum f a₁ L → ∀ (b : β) [inst_4 : DecidableEq β] (a : α), HasSum (Function.update f b a) (a - f b + a₁) L

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Group

Cited by

3 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupTopologicalSpaceIsTopologicalAddGroupSummationFilter.LeAtTopDecidableEq