Theorems · Theorem · measure theory
MeasureTheory.Measure.Regular.smul
∀ {α : Type u_1} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace α] [μ.Regular]
{x : ENNReal}, x ≠ ⊤ → (x • μ).Regular- Defined in
- Mathlib.MeasureTheory.Measure.Regular
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 183 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Top.topstatement and proof · cited by 9,680
- MeasureTheory.IsFiniteMeasureOnCompactsproof · cited by 109
- MeasureTheory.Measure.Regularstatement and proof · cited by 61
- MeasureTheory.Measure.OuterRegularproof · cited by 24
- MeasureTheory.Measure.Regular.innerRegularproof · cited by 9
- MeasureTheory.Measure.OuterRegular.smulproof · cited by 2
- MeasureTheory.Measure.InnerRegularWRT.smulproof · cited by 2
- MeasureTheory.IsFiniteMeasureOnCompacts.smulproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.regular_of_isAddLeftInvariantproof · cited by 0
- MeasureTheory.Measure.regular_of_isMulLeftInvariantproof · cited by 0