Theorems · Theorem · sequences and series
MultipliableUniformlyOn.exists
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : CommMonoid α] {f : ι → β → α} {s : Set β}
[inst_1 : UniformSpace α], MultipliableUniformlyOn f s → ∃ g, HasProdUniformlyOn f g s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- CommMonoidstatement and proof · cited by 2,264
- UniformSpacestatement and proof · cited by 2,040
- HasProdUniformlyOnstatement · cited by 28
- MultipliableUniformlyOnstatement and proof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- MultipliableUniformlyOn.hasProdUniformlyOnproof · cited by 5
- multipliableUniformlyOn_univ_iffproof · cited by 1
- MultipliableUniformlyOn.monoproof · cited by 0
- MultipliableUniformlyOn.multipliableproof · cited by 0