Theorems · Theorem · measure theory
MeasureTheory.ae_eq_univ_iff_measure_eq
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α} [MeasureTheory.IsFiniteMeasure μ],
MeasureTheory.NullMeasurableSet s μ → (s =ᵐ[μ] Set.univ ↔ μ s = μ Set.univ)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.univstatement and proof · cited by 3,945
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- Eq.geproof · cited by 375
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- Set.subset_univproof · cited by 228
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_iff_measure_eqproof · cited by 3
- IsClosed.measure_eq_univ_iff_eqproof · cited by 2
- AddCircle.ae_empty_or_univ_of_forall_vadd_ae_eq_selfproof · cited by 2
- MeasureTheory.MeasurePreserving.singularPartproof · cited by 1