Theorems · Theorem · measure theory
MeasureTheory.measure_preimage_vadd_of_nullMeasurableSet
∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : VAdd G α] {μ : MeasureTheory.Measure α}
[MeasureTheory.VAddInvariantMeasure G α μ] {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ∀ (c : G), μ ((fun x => c +ᵥ x) ⁻¹' s) = μ s- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites18
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
- Set.ofPredproof · cited by 6,101
- Set.preimagestatement and proof · cited by 4,946
- HVAdd.hVAddstatement and proof · cited by 1,820
- VAddstatement and proof · cited by 616
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
- MeasureTheory.toMeasurableproof · cited by 77
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