Theorems · Theorem · measure theory
MeasureTheory.exists_measurable_superset_of_null
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s : Set α},
μ s = 0 → ∃ t, s ⊆ t ∧ MeasurableSet t ∧ μ t = 0- Cited by
- 10 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement · cited by 3,075
- MeasureTheory.exists_measurable_supersetproof · cited by 10
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.AbsolutelyContinuous.mkproof · cited by 38
- MeasureTheory.lintegral_mono_aeproof · cited by 36
- MeasureTheory.Measure.pi_eval_preimage_nullproof · cited by 3
- MeasureTheory.lintegral_iSup_aeproof · cited by 1
- ProbabilityTheory.Kernel.ae_null_of_compProd_nullproof · cited by 1
- ProbabilityTheory.Kernel.ae_null_of_comp_nullproof · cited by 1
- MeasureTheory.Measure.measure_ae_null_of_prod_nullproof · cited by 1
- MeasureTheory.Measure.le_ae_joinproof · cited by 1
- MeasureTheory.exists_lt_lowerSemicontinuous_lintegral_ge_of_aemeasurableproof · cited by 1
- MeasureTheory.exists_measurable_superset_iff_measure_eq_zeroproof · cited by 0