Theorems · Theorem · sequences and series
hasSumUniformlyOn_univ_iff
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {f : ι → β → α} {g : β → α}
[inst_1 : UniformSpace α], HasSumUniformlyOn f g Set.univ ↔ HasSumUniformly f g- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoidUniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- AddCommMonoidstatement and proof · cited by 12,281
- Finset.sumproof · cited by 5,195
- Set.univstatement · cited by 3,945
- Filter.atTopproof · cited by 2,405
- UniformSpacestatement and proof · cited by 2,040
- TendstoUniformlyproof · cited by 75
- HasSumUniformlyOnstatement · cited by 24
- hasSumUniformlyOn_iff_tendstoUniformlyOnproof · cited by 12
- HasSumUniformlystatement · cited by 12
- tendstoUniformlyOn_univproof · cited by 11
- hasSumUniformly_iff_tendstoUniformlyproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- summableUniformlyOn_univ_iffproof · cited by 1
- SummableUniformly.hasSumUniformlyproof · cited by 1