Theorems · Theorem · measure theory
MeasureTheory.nullMeasurableSet_restrict
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ →
∀ {t : Set α}, MeasureTheory.NullMeasurableSet t (μ.restrict s) ↔ MeasureTheory.NullMeasurableSet (t ∩ s) μ- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- ENNRealproof · cited by 9,879
- Filter.Eventuallyproof · cited by 3,134
- MeasurableSetproof · cited by 3,075
- MeasureTheory.aeproof · cited by 2,352
- Filter.EventuallyEqproof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- Filter.mp_memproof · cited by 1,537
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.map_withDensity_abs_det_fderiv_eq_addHaarproof · cited by 1