Theorems · Theorem · sequences and series
HasProdUniformly.hasProd
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {g : β → α} {x : β}
[inst_1 : UniformSpace α], HasProdUniformly f g → HasProd (fun x_1 => f x_1 x) (g x)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- HasProdstatement · cited by 157
- HasProdUniformlystatement and proof · cited by 12
- HasProdUniformly.tendstoUniformlyproof · cited by 3
- TendstoUniformly.tendsto_atproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MultipliableUniformly.multipliableproof · cited by 0