Theorems · Theorem · sequences and series

HasSumUniformlyOn.hasSum

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {f : ι → β → α} {g : β → α} {x : β} {s : Set β}
  [inst_1 : UniformSpace α], HasSumUniformlyOn f g s → x ∈ s → HasSum (fun x_1 => f x_1 x) (g x)

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

3 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidUniformSpace