Theorems · Theorem · sequences and series
HasSumLocallyUniformlyOn.summableLocallyUniformlyOn
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {f : ι → β → α} {g : β → α} {s : Set β}
[inst_1 : UniformSpace α] [inst_2 : TopologicalSpace β],
HasSumLocallyUniformlyOn f g s → SummableLocallyUniformlyOn f s- Cited by
- 7 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- UniformSpacestatement and proof · cited by 2,040
- SummableLocallyUniformlyOnstatement · cited by 17
- HasSumLocallyUniformlyOnstatement and proof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- SummableLocallyUniformlyOn_congrproof · cited by 1
- SummableLocallyUniformlyOn.of_locally_bounded_eventuallyproof · cited by 1
- SummableLocallyUniformly.summableLocallyUniformlyOnproof · cited by 0
- SummableLocallyUniformlyOn.compproof · cited by 0
- summableLocallyUniformlyOn_iff_hasSumLocallyUniformlyOnproof · cited by 0
- SummableLocallyUniformlyOn.monoproof · cited by 0
- summableLocallyUniformlyOn_of_of_forall_exists_nhdsproof · cited by 0