Theorems · Theorem · measure theory
AEMeasurable.smul_measure
∀ {α : Type u_2} {β : Type u_3} {R : Type u_6} {m0 : MeasurableSpace α} [inst : MeasurableSpace β] {f : α → β}
{μ : MeasureTheory.Measure α} [inst_1 : SMul R ENNReal] [inst_2 : IsScalarTower R ENNReal ENNReal],
AEMeasurable f μ → ∀ (c : R), AEMeasurable f (c • μ)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- IsScalarTowerstatement and proof · cited by 3,896
- AEMeasurablestatement and proof · cited by 840
- AEMeasurable.mkproof · cited by 75
- AEMeasurable.ae_eq_mkproof · cited by 65
- AEMeasurable.measurable_mkproof · cited by 62
- MeasureTheory.Measure.ae_smul_measureproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.map_bernoulliMeasureproof · cited by 0