Theorems · Theorem · sequences and series
Summable.of_finite
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β}
[Finite β] [L.HasSupport] {f : β → α}, Summable f L- Cited by
- 4 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finitestatement and proof · cited by 3,029
- Summablestatement · cited by 778
- Function.supportproof · cited by 610
- SummationFilterstatement and proof · cited by 607
- Set.Finite.subsetproof · cited by 285
- Set.subset_univproof · cited by 228
- Set.finite_univproof · cited by 52
- SummationFilter.HasSupportstatement and proof · cited by 38
- summable_of_hasFiniteSupportproof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- tendstoUniformlyOn_tsum_of_cofinite_eventuallyproof · cited by 6
- PowerSeries.WithPiTopology.summable_prod_of_tendsto_order_atTop_nhds_topproof · cited by 1
- ZLattice.summable_norm_sub_rpowproof · cited by 1