Theorems · Theorem · general topology
NNReal.summable_nat_add_iff
∀ {f : ℕ → NNReal} (k : ℕ), (Summable fun i => f (i + k)) ↔ Summable f- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 124 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.
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- NNReal.toRealproof · cited by 1,260
- Summablestatement and proof · cited by 778
- summable_nat_add_iffproof · cited by 24
- NNReal.summable_coeproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- FormalMultilinearSeries.comp_summable_nnrealproof · cited by 2
- NNReal.sum_add_tsum_nat_addproof · cited by 0