Theorems · Theorem · measure theory
MeasurableConstSMul.measurable_const_smul
∀ {M : Type u_2} {α : Type u_3} {inst : SMul M α} {inst_1 : MeasurableSpace α} [self : MeasurableConstSMul M α] (c : M),
Measurable fun x => c • x- Defined in
- Mathlib.MeasureTheory.Group.Arithmetic
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- MeasurableConstSMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement · cited by 1,499
- MeasurableConstSMulstatement and proof · cited by 92
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.measurePreserving_smulproof · cited by 17
- AEMeasurable.const_smulproof · cited by 8
- Measurable.const_smulproof · cited by 5
- MeasurableSet.const_smulproof · cited by 2
- MeasurableSet.const_smul_of_ne_zeroproof · cited by 2
- measurableSMul_iterateMulActproof · cited by 1
- MeasureTheory.Measure.quasiMeasurePreserving_smulproof · cited by 0
- DomMulAct.mk_smul_indicatorConstLpstatement · cited by 0
- MeasureTheory.smulInvariantMeasure_mapproof · cited by 0
- MeasureTheory.smulInvariantMeasure_tfaeproof · cited by 0
- ProbabilityTheory.HasIndepIncrements.smulproof · cited by 0