Theorems · Inductive type · measure theory
MeasurableConstVAdd
(M : Type u_2) → (α : Type u_3) → [VAdd M α] → [MeasurableSpace α] → Prop
We say that the action of M on α has MeasurableConstVAdd if for each c the map
x ↦ c +ᵥ x is a measurable function.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 81 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- VAddMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- VAddstatement · cited by 616
Cited by86
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_vaddstatement and proof · cited by 18
- MeasurableConstVAdd.measurable_const_vaddstatement and proof · cited by 9
- measurableEmbedding_const_vaddstatement and proof · cited by 6
- MeasurableEquiv.vaddstatement and proof · cited by 5
- MeasureTheory.NullMeasurableSet.vaddstatement and proof · cited by 5
- MeasureTheory.IsAddFundamentalDomain.covolume_eq_volumestatement and proof · cited by 5
- MeasureTheory.IsAddFundamentalDomain.measure_eq_tsumstatement and proof · cited by 5
- MeasureTheory.IsAddFundamentalDomain.measure_zero_of_invariantstatement and proof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.sum_restrict_of_acstatement and proof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.lintegral_eq_tsum_of_acstatement and proof · cited by 3
- MeasureTheory.IsAddFundamentalDomain.nullMeasurableSet_vaddstatement and proof · cited by 3
- MeasureTheory.IsAddFundamentalDomain.restrict_restrictstatement and proof · cited by 3