Theorems · Definition · sequences and series

HasProdUniformlyOn

{α : Type u_1} →
  {β : Type u_2} → {ι : Type u_3} → [CommMonoid α] → (ι → β → α) → (β → α) → Set β → [UniformSpace α] → Prop

HasProdUniformlyOn f g s means that the (potentially infinite) product ∏' i, f i b for b : β converges uniformly on s to g.

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

28 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidUniformSpace