Theorems · Theorem · measure theory
MeasureTheory.sdiff_ae_eq_self
∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [inst_1 : MeasureTheory.OuterMeasureClass F α]
{μ : F} {s t : Set α}, s \ t =ᵐ[μ] s ↔ μ (s ∩ t) = 0- Defined in
- Mathlib.MeasureTheory.OuterMeasure.AE
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- ENNRealstatement and proof · cited by 9,879
- FunLikestatement and proof · cited by 2,560
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.measure_emptyproof · cited by 169
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
- sdiff_sdiff_right_selfproof · cited by 20
- sdiff_sdiff_selfproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Iio_ae_eq_Iic'proof · cited by 6
- MeasureTheory.measure_sdiff_null'proof · cited by 5
- MeasureTheory.sdiff_null_ae_eq_selfproof · cited by 3
- MeasureTheory.diff_ae_eq_selfproof · cited by 0