Theorems · Theorem · measure theory
Measurable.nnreal_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 → NNReal},
(∀ (i : ι), Measurable (f i)) → Measurable fun x => ∑' (i : ι), f i x- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
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Cites10
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
- NNRealstatement and proof · cited by 4,310
- SummationFilter.unconditionalstatement · cited by 2,068
- Measurablestatement and proof · cited by 1,499
- tsumstatement · cited by 1,148
- Countablestatement and proof · cited by 633
- Measurable.coe_nnreal_ennrealproof · cited by 24
- Measurable.ennreal_toNNRealproof · cited by 3
- NNReal.tsum_eq_toNNReal_tsumproof · cited by 3
- Measurable.ennreal_tsumproof · cited by 2
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