Theorems · Theorem · measure theory
AEMeasurable.ennreal_tsum
Deprecated since 2026-04-30Mathlib marks this declaration as deprecated.
∀ {α : Type u_1} {mα : MeasurableSpace α} {ι : Type u_5} [Countable ι] {f : ι → α → ENNReal}
{μ : MeasureTheory.Measure α}, (∀ (i : ι), AEMeasurable (f i) μ) → AEMeasurable (fun x => ∑' (i : ι), f i x) μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
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.
- Finsetproof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- AEMeasurablestatement and proof · cited by 840
- Countablestatement and proof · cited by 633
- ENNReal.tsum_eq_iSup_sumproof · cited by 10
- Finset.aemeasurable_fun_sumproof · cited by 5
- AEMeasurable.iSupproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- AEMeasurable.nnreal_tsumproof · cited by 0