Theorems · Theorem · sequences and series
summable_zero
∀ {α : Type u_1} {β : Type u_2} [inst : AddCommMonoid α] [inst_1 : TopologicalSpace α] {L : SummationFilter β},
Summable (fun x => 0) L- Cited by
- 5 results in Mathlib
- Foundations
- Depth 63 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.
- TopologicalSpacestatement and proof · cited by 24,529
- AddCommMonoidstatement and proof · cited by 12,281
- Summablestatement · cited by 778
- SummationFilterstatement and proof · cited by 607
- HasSum.summableproof · cited by 98
- hasSum_zeroproof · cited by 13
Cited by5
Results whose statement or proof uses this declaration.
- tsum_zeroproof · cited by 63
- PadicInt.mahlerSeries_apply_natproof · cited by 3
- Summable.tsum_posproof · cited by 3
- summable_of_ratio_norm_eventually_leproof · cited by 2
- summable_const_iffproof · cited by 1