Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.posPart
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} [inst_1 : AddGroup β] [inst_2 : Lattice β] [ContinuousSup β],
MeasureTheory.AEStronglyMeasurable f μ → MeasureTheory.AEStronglyMeasurable (fun x => (f x)⁺) μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- AddGroupstatement and proof · cited by 4,410
- Latticestatement and proof · cited by 916
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- PosPart.posPartstatement · cited by 113
- ContinuousSupstatement and proof · cited by 70
- MeasureTheory.aestronglyMeasurable_constproof · cited by 44
- MeasureTheory.AEStronglyMeasurable.supproof · cited by 6
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