Theorems · Inductive type · measure theory
MeasurableSMul
(M : Type u_2) → (α : Type u_3) → [SMul M α] → [MeasurableSpace M] → [MeasurableSpace α] → Prop
We say that the action of M on α has MeasurableSMul if for each c the map x ↦ c • x
is a measurable function and for each x the map c ↦ c • x is a measurable function.
- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
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 by7
Results whose statement or proof uses this declaration.
- Measurable.smul_conststatement and proof · cited by 6
- MeasurableSMul.measurable_smul_conststatement and proof · cited by 1
- measurableSMul_iterateMulActstatement and proof · cited by 1
- MeasurableSMul.casesOnstatement and proof · cited by 0
- MeasurableSMul.recOnstatement and proof · cited by 0
- MeasureTheory.Adapted.smulstatement and proof · cited by 0
- AEMeasurable.smul_conststatement and proof · cited by 0