Theorems · Theorem · measure theory
MeasureTheory.SignedMeasure.mutuallySingular_singularPart
∀ {α : Type u_1} {m : MeasurableSpace α} (s : MeasureTheory.SignedMeasure α) (μ : MeasureTheory.Measure α),
MeasureTheory.VectorMeasure.MutuallySingular (s.singularPart μ) μ.toENNRealVectorMeasure- 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.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.SignedMeasurestatement and proof · cited by 108
- MeasureTheory.Measure.MutuallySingularproof · cited by 91
- MeasureTheory.Measure.singularPartproof · cited by 71
- MeasureTheory.JordanDecomposition.negPartproof · cited by 44
- MeasureTheory.JordanDecomposition.posPartproof · cited by 43
- MeasureTheory.SignedMeasure.toJordanDecompositionproof · cited by 34
- MeasureTheory.Measure.mutuallySingular_singularPartproof · cited by 27
- MeasureTheory.VectorMeasure.MutuallySingularstatement · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.singularPart_addproof · cited by 2