Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.toMeasurable_ae_eq
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → MeasureTheory.toMeasurable μ s =ᵐ[μ] s- Cited by
- 13 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.toMeasurablestatement · cited by 77
- MeasureTheory.toMeasurable_defproof · cited by 6
- MeasureTheory.NullMeasurableSet.exists_measurable_superset_ae_eqproof · cited by 3
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_apply₀'proof · cited by 7
- MeasureTheory.lintegral_indicator₀proof · cited by 4
- MeasureTheory.withDensity_apply₀proof · cited by 2
- MeasureTheory.integral_indicator₀proof · cited by 1
- MeasureTheory.NullMeasurableSet.compl_toMeasurable_compl_ae_eqproof · cited by 1
- MeasureTheory.setIntegral_mono_on_ae₀proof · cited by 1
- aestronglyMeasurable_indicator_iff₀proof · cited by 1
- MeasureTheory.Measure.NullMeasurableSet.imageproof · cited by 1
- MeasureTheory.IntegrableOn.integrable_indicator₀proof · cited by 1
- MeasureTheory.NullMeasurableSet.measurable_of_completeproof · cited by 1
- MeasureTheory.Measure.MeasureDense.completionproof · cited by 0
- MeasureTheory.measure_preimage_smul_of_nullMeasurableSetproof · cited by 0