Theorems · Theorem · general topology
NNReal.tendsto_cofinite_zero_of_summable
∀ {α : Type u_3} {f : α → NNReal}, Summable f → Filter.Tendsto f Filter.cofinite (nhds 0)- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- nhdsstatement · cited by 5,554
- NNRealstatement and proof · cited by 4,310
- Filter.Tendstostatement · cited by 3,814
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- Summablestatement and proof · cited by 778
- Filter.cofinitestatement · cited by 251
- Summable.tendsto_cofinite_zeroproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- ENNReal.tendsto_cofinite_zero_of_tsum_ne_topproof · cited by 1
- NNReal.tendsto_atTop_zero_of_summableproof · cited by 0