Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.real_toNNReal
∀ {α : Type u_1} {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ℝ},
MeasureTheory.AEStronglyMeasurable f μ → MeasureTheory.AEStronglyMeasurable (fun x => (f x).toNNReal) μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealstatement · cited by 4,310
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- Real.toNNRealstatement · cited by 267
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- continuous_real_toNNRealproof · cited by 15
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.real_toNNRealproof · cited by 3
- MeasureTheory.exists_lt_lowerSemicontinuous_integral_gt_nnrealproof · cited by 1