Theorems · Theorem · sequences and series
hasProdUniformlyOn_univ_iff
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {g : β → α}
[inst_1 : UniformSpace α], HasProdUniformlyOn f g Set.univ ↔ HasProdUniformly f g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Set.univstatement · cited by 3,945
- Filter.atTopproof · cited by 2,405
- Finset.prodproof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- UniformSpacestatement and proof · cited by 2,040
- TendstoUniformlyproof · cited by 75
- HasProdUniformlyOnstatement · cited by 28
- HasProdUniformlystatement · cited by 12
Cited by2
Results whose statement or proof uses this declaration.
- multipliableUniformlyOn_univ_iffproof · cited by 1
- MultipliableUniformly.hasProdUniformlyproof · cited by 1