Theorems · Theorem · measure theory
ENNReal.tsum_eq_top_of_eq_top
∀ {α : Type u_1} {f : α → ENNReal}, (∃ a, f a = ⊤) → ∑' (a : α), f a = ⊤- Cited by
- 5 results in Mathlib
- Foundations
- Depth 131 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.
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- tsumstatement and proof · cited by 1,148
- top_uniqueproof · cited by 102
- ENNReal.le_tsumproof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- ENNReal.ne_top_of_tsum_ne_topproof · cited by 9
- MeasureTheory.OuterMeasure.ofFunction_eq_iInf_memproof · cited by 2
- MeasureTheory.Measure.mkMetric_applyproof · cited by 2
- ENNReal.tsum_topproof · cited by 1
- ENNReal.lt_top_of_tsum_ne_topproof · cited by 0