Theorems · Theorem · sequences and series

HasSum.add_compl

∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {f : β → α} {a b : α}
  [ContinuousAdd α] {s : Set β}, HasSum (f ∘ Subtype.val) a → HasSum (f ∘ Subtype.val) b → HasSum f (a + b)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.Basic

Cited by

6 results in Mathlib

Foundations

Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidTopologicalSpaceContinuousAdd