Theorems · Definition · sequences and series
SummableLocallyUniformly
{α : Type u_1} →
{β : Type u_2} → {ι : Type u_3} → [AddCommMonoid α] → (ι → β → α) → [UniformSpace α] → [TopologicalSpace β] → PropSummableLocallyUniformly f means that ∑' i, f i b converges locally
uniformly to something.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- UniformSpacestatement and proof · cited by 2,040
- HasSumLocallyUniformlyproof · cited by 16
Cited by7
Results whose statement or proof uses this declaration.
- HasSumLocallyUniformly.summableLocallyUniformlystatement · cited by 2
- SummableLocallyUniformly.existsstatement and proof · cited by 1
- SummableLocallyUniformly.hasSumLocallyUniformlystatement and proof · cited by 1
- SummableLocallyUniformly.summablestatement and proof · cited by 0
- SummableLocallyUniformly.summableLocallyUniformlyOnstatement and proof · cited by 0
- summableLocallyUniformly_iff_hasSumLocallyUniformlystatement · cited by 0
- summableLocallyUniformly_of_of_forall_exists_nhdsstatement · cited by 0