Theorems · Inductive type · measure theory
MeasurableConstSMul
(M : Type u_2) → (α : Type u_3) → [SMul M α] → [MeasurableSpace α] → Prop
We say that the action of M on α has MeasurableConstSMul if for each c the map
x ↦ c • x is a measurable function.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 92 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- SMulMeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by98
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_smulstatement and proof · cited by 17
- MeasurableConstSMul.measurable_const_smulstatement and proof · cited by 12
- AEMeasurable.const_smulstatement and proof · cited by 8
- MeasurableEquiv.smulstatement and proof · cited by 7
- measurableEmbedding_const_smulstatement and proof · cited by 6
- Measurable.const_smulstatement and proof · cited by 5
- MeasureTheory.IsFundamentalDomain.measure_eq_tsumstatement and proof · cited by 4
- MeasureTheory.IsFundamentalDomain.measure_zero_of_invariantstatement and proof · cited by 4
- MeasureTheory.IsFundamentalDomain.sum_restrict_of_acstatement and proof · cited by 4
- MeasureTheory.NullMeasurableSet.smulstatement and proof · cited by 4
- MeasureTheory.IsFundamentalDomain.covolume_eq_volumestatement and proof · cited by 4
- MeasureTheory.IsFundamentalDomain.lintegral_eq_tsum_of_acstatement and proof · cited by 3