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Theorems · Definition · sequences and series

SummableUniformly

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

SummableUniformly f means that there is some infinite sum to which f converges uniformly. Use fun x ↦ ∑' i, f i x to get the product function.

Defined in
Mathlib.Topology.Algebra.InfiniteSum.UniformOn
Cited by
7 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidUniformSpace

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Cites6

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Cited by7

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