Theorems · Theorem · measure theory
MeasureTheory.measure_add_right_ne_zero
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : AddGroup G] [MeasurableAdd₂ G] (μ : MeasureTheory.Measure G)
[MeasureTheory.SFinite μ] {s : Set G} [MeasurableNeg G] [μ.IsAddLeftInvariant],
μ s ≠ 0 → ∀ (y : G), μ ((fun x => x + y) ⁻¹' s) ≠ 0- Defined in
- Mathlib.MeasureTheory.Group.Prod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Set.preimagestatement · cited by 4,946
- AddGroupstatement and proof · cited by 4,410
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasurableAdd₂statement and proof · cited by 155
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- MeasureTheory.measure_add_right_nullproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_lintegral_sub_measureproof · cited by 1