Theorems · Theorem · measure theory
MeasureTheory.union_ae_eq_left_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}, t =ᵐ[μ] ∅ → s ∪ t =ᵐ[μ] s- 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.union_emptyproof · cited by 78
- 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.
- NumberField.mixedEmbedding.fundamentalCone.compactSet_aeproof · cited by 1
- NumberField.mixedEmbedding.iUnion_negAt_plusPart_aeproof · cited by 1
- MeasureTheory.lintegral_abs_det_fderiv_eq_addHaar_image₀proof · cited by 1
- MeasureTheory.nullMeasurable_image_of_fderivWithinproof · cited by 0