Theorems · Theorem · measure theory
AEMeasurable.nnreal_tsum
Deprecated since 2026-04-30Mathlib marks this declaration as deprecated.
∀ {α : Type u_5} {x : MeasurableSpace α} {ι : Type u_6} [Countable ι] {f : ι → α → NNReal}
{μ : MeasureTheory.Measure α}, (∀ (i : ι), AEMeasurable (f i) μ) → AEMeasurable (fun x => ∑' (i : ι), f i x) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- AEMeasurablestatement and proof · cited by 840
- Countablestatement and proof · cited by 633
- AEMeasurable.coe_nnreal_ennrealproof · cited by 6
- AEMeasurable.ennreal_toNNRealproof · cited by 5
- NNReal.tsum_eq_toNNReal_tsumproof · cited by 3
- AEMeasurable.ennreal_tsumproof · cited by 1
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