Theorems · Theorem · sequences and series
SummableUniformly.summableUniformlyOn
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {f : ι → β → α} {s : Set β}
[inst_1 : UniformSpace α], SummableUniformly f → SummableUniformlyOn f s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 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.
Cites8
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
- AddCommMonoidstatement and proof · cited by 12,281
- UniformSpacestatement and proof · cited by 2,040
- SummableUniformlyOnstatement · cited by 12
- SummableUniformlystatement and proof · cited by 7
- HasSumUniformlyOn.summableUniformlyOnproof · cited by 3
- SummableUniformly.existsproof · cited by 2
- HasSumUniformly.hasSumUniformlyOnproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- summableUniformlyOn_univ_iffproof · cited by 1