Theorems · Theorem · measure theory
MeasureTheory.union_ae_eq_right_of_ae_eq_empty
∀ {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 =ᵐ[μ] ∅ → s ∪ t =ᵐ[μ] t- Defined in
- Mathlib.MeasureTheory.OuterMeasure.AE
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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 and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
- Set.empty_unionproof · cited by 52
- MeasureTheory.ae_eq_reflproof · cited by 29
- MeasureTheory.ae_eq_set_unionproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.lintegral_image_eq_lintegral_deriv_mul_of_monotoneOnproof · cited by 3
- MeasureTheory.integral_image_eq_integral_deriv_smul_of_monotoneOnproof · cited by 2
- AddCircle.addWellApproximable_ae_empty_or_univproof · cited by 0