Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.exists_measurable_subset_ae_eq
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ∃ t ⊆ s, MeasurableSet t ∧ t =ᵐ[μ] s- Cited by
- 9 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- MeasurableSetstatement · cited by 3,075
- Compl.complproof · cited by 2,925
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasurableSet.complproof · cited by 172
- MeasureTheory.toMeasurableproof · cited by 77
- MeasureTheory.measurableSet_toMeasurableproof · cited by 62
- MeasureTheory.subset_toMeasurableproof · cited by 52
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.sum_apply₀proof · cited by 2
- MeasureTheory.toMeasure_apply₀proof · cited by 2
- MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image₀proof · cited by 1
- MeasureTheory.exists_subordinate_pairwise_disjointproof · cited by 1
- ContinuousOn.aemeasurable₀proof · cited by 1
- MeasureTheory.Conservative.exists_mem_iterate_memproof · cited by 1
- MeasureTheory.NullMeasurable.aemeasurableproof · cited by 1
- MeasureTheory.nullMeasurableSet_restrict_of_subsetproof · cited by 0
- MeasureTheory.nullMeasurable_image_of_fderivWithinproof · cited by 0