Theorems · Theorem · sequences and series
summableLocallyUniformly_of_of_forall_exists_nhds
∀ {α : Type u_1} {β : Type u_2} {ι : Type u_3} [inst : AddCommMonoid α] {f : ι → β → α} [inst_1 : UniformSpace α]
[inst_2 : TopologicalSpace β], (∀ (x : β), ∃ t ∈ nhds x, SummableUniformlyOn f t) → SummableLocallyUniformly f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- Filterstatement · cited by 8,121
- nhdsstatement and proof · cited by 5,554
- UniformSpacestatement and proof · cited by 2,040
- SummableUniformlyOnstatement and proof · cited by 12
- SummableLocallyUniformlystatement · cited by 7
- SummableUniformlyOn.hasSumUniformlyOnproof · cited by 4
- HasSumLocallyUniformly.summableLocallyUniformlyproof · cited by 2
- hasSumLocallyUniformly_of_of_forall_exists_nhdsproof · cited by 1
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