Theorems · Definition · sequences and series

HasSumUniformly

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

HasSumUniformly f g means that the sum ∑ i, f i b converges uniformly (wrt b) to g.

Defined in

Mathlib.Topology.Algebra.InfiniteSum.UniformOn

Cited by

12 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidUniformSpace