Theorems · Theorem · measure theory
MeasureTheory.SignedMeasure.singularPart_sub
∀ {α : Type u_1} {m : MeasurableSpace α} (s t : MeasureTheory.SignedMeasure α) (μ : MeasureTheory.Measure α)
[s.HaveLebesgueDecomposition μ] [t.HaveLebesgueDecomposition μ],
(s - t).singularPart μ = s.singularPart μ - t.singularPart μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 266 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- sub_eq_add_negproof · cited by 1,023
- MeasureTheory.SignedMeasurestatement and proof · cited by 108
- MeasureTheory.SignedMeasure.singularPartstatement and proof · cited by 13
- MeasureTheory.SignedMeasure.HaveLebesgueDecompositionstatement and proof · cited by 10
- MeasureTheory.SignedMeasure.singularPart_addproof · cited by 2
- MeasureTheory.SignedMeasure.singularPart_negproof · cited by 2
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