Theorems · Theorem · measure theory
MeasureTheory.Measure.singularPart_smul_right
∀ {α : Type u_1} {m : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) (r : NNReal),
r ≠ 0 → μ.singularPart (r • ν) = μ.singularPart ν- Cited by
- 2 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- MeasureTheory.Measure.withDensityproof · cited by 265
- MeasureTheory.Measure.rnDerivproof · cited by 234
- MeasureTheory.Measure.HaveLebesgueDecompositionproof · cited by 92
- inv_smul_smul₀proof · cited by 80
- MeasureTheory.Measure.measurable_rnDerivproof · cited by 75
- MeasureTheory.Measure.singularPartstatement and proof · cited by 71
- smul_inv_smul₀proof · cited by 59
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_smul_rightproof · cited by 2
- MeasureTheory.Measure.rnDeriv_smul_right'proof · cited by 1