Theorems · Theorem · measure theory
MeasureTheory.measurePreserving_vadd
∀ {M : Type v} {α : Type w} {m : MeasurableSpace α} [inst : VAdd M α] [MeasurableConstVAdd M α] (c : M)
(μ : MeasureTheory.Measure α) [MeasureTheory.VAddInvariantMeasure M α μ],
MeasureTheory.MeasurePreserving (fun x => c +ᵥ x) μ μ- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- HVAdd.hVAddstatement · cited by 1,820
- VAddstatement and proof · cited by 616
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.MeasurePreservingstatement · cited by 259
- MeasureTheory.Measure.map_applyproof · cited by 139
- MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
Cited by18
Results whose statement or proof uses this declaration.
- MeasureTheory.NullMeasurableSet.vaddproof · cited by 5
- aeconst_of_dense_setOfPred_preimage_vadd_aeproof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.setLIntegral_eq_tsum'proof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.setIntegral_eq_tsum'proof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.vadd_of_commproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.aestronglyMeasurable_on_iffproof · cited by 1
- ergodic_vadd_of_denseRange_nsmulproof · cited by 1
- ergodic_vadd_of_denseRange_zsmulproof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.integral_eq_tsum'proof · cited by 1
- MeasureTheory.IsAddFundamentalDomain.lintegral_eq_tsum'proof · cited by 1
- MeasureTheory.map_vaddproof · cited by 1
- QuotientAddGroup.integral_eq_integral_automorphizeproof · cited by 1