Theorems · Theorem · measure theory
ENNReal.tsum_coe_ne_top_iff_summable_coe
∀ {α : Type u_1} {f : α → NNReal}, ∑' (a : α), ↑(f a) ≠ ⊤ ↔ Summable fun a => ↑(f a)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 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.
- Realstatement · cited by 25,697
- ENNRealstatement · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- NNReal.toRealstatement · cited by 1,260
- tsumstatement and proof · cited by 1,148
- Summablestatement · cited by 778
- NNReal.summable_coeproof · cited by 15
- ENNReal.tsum_coe_ne_top_iff_summableproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.setToFun_tsumproof · cited by 3
- ENNReal.tsum_coe_eq_top_iff_not_summable_coeproof · cited by 0