Theorems · Theorem · measure theory
AEMeasurable.abs
∀ {α : Type u_1} {β : Type u_2} [inst : Lattice α] [inst_1 : AddGroup α] [inst_2 : MeasurableSpace α]
[inst_3 : MeasurableSpace β] {f : β → α} [MeasurableNeg α] [MeasurableSup₂ α] {μ : MeasureTheory.Measure β},
AEMeasurable f μ → AEMeasurable (fun x => |f x|) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddGroupstatement and proof · cited by 4,410
- absstatement · cited by 1,814
- Latticestatement and proof · cited by 916
- AEMeasurablestatement and proof · cited by 840
- MeasurableNegstatement and proof · cited by 130
- Measurable.comp_aemeasurableproof · cited by 99
- MeasurableSup₂statement and proof · cited by 16
- measurable_absproof · cited by 2
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