Theorems · Theorem · measure theory
MeasureTheory.AEStronglyMeasurable.smul_measure
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace β] {m₀ : MeasurableSpace α} {μ : MeasureTheory.Measure α}
{f : α → β} {R : Type u_5} [inst_1 : SMul R ENNReal] [inst_2 : IsScalarTower R ENNReal ENNReal],
MeasureTheory.AEStronglyMeasurable f μ → ∀ (c : R), MeasureTheory.AEStronglyMeasurable f (c • μ)- Cited by
- 2 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- 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
- MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
- MeasureTheory.AEStronglyMeasurable.mkproof · cited by 82
- MeasureTheory.AEStronglyMeasurable.ae_eq_mkproof · cited by 77
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurable_mkproof · cited by 71
- MeasureTheory.Measure.ae_smul_measureproof · cited by 10
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.lpNorm_smul_measure_of_ne_topproof · cited by 0
- MeasureTheory.lpNorm_smul_measure_of_ne_zeroproof · cited by 0