Theorems · Theorem · sequences and series
multipliableUniformly_iff_hasProdUniformly
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} [inst_1 : UniformSpace α],
MultipliableUniformly f ↔ HasProdUniformly f fun x => ∏' (i : ι), f i x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidUniformSpace
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidstatement and proof · cited by 2,264
- SummationFilter.unconditionalstatement · cited by 2,068
- UniformSpacestatement and proof · cited by 2,040
- tprodstatement · cited by 230
- HasProdUniformlystatement · cited by 12
- MultipliableUniformlystatement · cited by 7
- HasProdUniformly.multipliableUniformlyproof · cited by 2
- MultipliableUniformly.hasProdUniformlyproof · cited by 1
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