Theorems · Theorem · measure theory
MeasureTheory.ae_eq_refl
∀ {α : Type u_1} {β : Type u_2} {F : Type u_3} [inst : FunLike F (Set α) ENNReal]
[inst_1 : MeasureTheory.OuterMeasureClass F α] {μ : F} (f : α → β), f =ᵐ[μ] f- Defined in
- Mathlib.MeasureTheory.OuterMeasure.AE
- Cited by
- 29 results in Mathlib
- Foundations
- Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- 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.OuterMeasureClassstatement and proof · cited by 104
- Filter.EventuallyEq.rflproof · cited by 55
Cited by29
Results whose statement or proof uses this declaration.
- Measurable.aemeasurableproof · cited by 304
- MeasureTheory.lintegral_add_left'proof · cited by 11
- MeasureTheory.Measure.restrict_apply₀'proof · cited by 7
- MeasureTheory.union_ae_eq_left_of_ae_eq_emptyproof · cited by 4
- MeasureTheory.union_ae_eq_right_of_ae_eq_emptyproof · cited by 4
- MeasureTheory.isClosed_setOfPred_preimage_ae_eqproof · cited by 3
- MeasureTheory.Ioo_ae_eq_Ico'proof · cited by 3
- MeasureTheory.Ioo_ae_eq_Ioc'proof · cited by 3
- MeasureTheory.FinStronglyMeasurable.aefinStronglyMeasurableproof · cited by 2
- MeasureTheory.Ico_ae_eq_Icc'proof · cited by 2
- MeasureTheory.Ioc_ae_eq_Icc'proof · cited by 2
- blimsup_cthickening_mul_ae_eqproof · cited by 2