Theorems · Theorem · sequences and series
SummableUniformlyOn.exists
∀ {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], SummableUniformlyOn f s → ∃ g, HasSumUniformlyOn f g s- Cited by
- 5 results in Mathlib
- Foundations
- Depth 74 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.
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
- AddCommMonoidstatement and proof · cited by 12,281
- UniformSpacestatement and proof · cited by 2,040
- HasSumUniformlyOnstatement · cited by 24
- SummableUniformlyOnstatement and proof · cited by 12
Cited by5
Results whose statement or proof uses this declaration.
- SummableUniformlyOn.hasSumUniformlyOnproof · cited by 4
- summableUniformlyOn_univ_iffproof · cited by 1
- hasProdUniformlyOn_of_clogproof · cited by 1
- SummableUniformlyOn.summableproof · cited by 1
- SummableUniformlyOn.monoproof · cited by 0