Theorems · Theorem · measure theory
MeasureTheory.measurable_measure_mul_right
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] {s : Set G}, MeasurableSet s → Measurable fun x => μ ((fun y => y * x) ⁻¹' s)- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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 and proof · cited by 9,879
- Groupstatement and proof · cited by 6,238
- Set.preimagestatement and proof · cited by 4,946
- Set.univproof · cited by 3,945
- MeasurableSetstatement and proof · cited by 3,075
- Set.extproof · cited by 2,266
- SProd.sprodproof · cited by 1,750
- Measurablestatement and proof · cited by 1,499
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_measure_preimage_mul_right_lt_topproof · cited by 1
- MeasureTheory.measure_lintegral_div_measureproof · cited by 1