Theorems · Theorem · sequences and series

MultipliableUniformlyOn.hasProdUniformlyOn

∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {s : Set β}
  [inst_1 : UniformSpace α], MultipliableUniformlyOn f s → HasProdUniformlyOn f (fun x => ∏' (i : ι), f i x) s

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

5 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidUniformSpace