Theorems · Theorem · measure theory
MeasureTheory.measure_inter_null_of_null_right
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} (S : Set α) {T : Set α},
μ T = 0 → μ (S ∩ T) = 0- Cited by
- 6 results in Mathlib
- Foundations
- Depth 171 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
- Set.inter_subset_rightproof · cited by 329
- MeasureTheory.measure_mono_nullproof · cited by 81
Cited by6
Results whose statement or proof uses this declaration.
- Set.OrdConnected.null_frontierproof · cited by 2
- MeasureTheory.Measure.absolutelyContinuous_of_add_of_mutuallySingularproof · cited by 2
- MeasureTheory.Measure.MutuallySingular.disjointproof · cited by 1
- MeasureTheory.Measure.MutuallySingular.disjoint_aeproof · cited by 1