Theorems · Theorem · measure theory
MeasureTheory.SignedMeasure.singularPart_smul
∀ {α : Type u_1} {m : MeasurableSpace α} (s : MeasureTheory.SignedMeasure α) (μ : MeasureTheory.Measure α) (r : ℝ),
(r • s).singularPart μ = r • s.singularPart μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites30
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- NNRealproof · cited by 4,310
- NNReal.toRealproof · cited by 1,260
- le_of_ltproof · cited by 1,175
- MeasureTheory.IsFiniteMeasureproof · cited by 1,078
- neg_negproof · cited by 960
- neg_smulproof · cited by 306
- neg_subproof · cited by 272
- le_or_gtproof · cited by 269
- Real.toNNRealproof · cited by 267
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.rnDeriv_smulproof · cited by 0