Theorems · Theorem · measure theory
MeasureTheory.measure_inv_null
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : Group G] [MeasurableMul₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] {s : Set G} [MeasurableInv G] [μ.IsMulLeftInvariant], μ s⁻¹ = 0 ↔ μ s = 0- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 9,879
- Groupstatement and proof · cited by 6,238
- inv_invproof · cited by 494
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasurableMul₂statement and proof · cited by 139
- Set.invstatement · cited by 132
- MeasureTheory.Measure.IsMulLeftInvariantstatement and proof · cited by 118
- MeasurableInvstatement and proof · cited by 98
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_mul_right_nullproof · cited by 4