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Theorems · Theorem · measure theory

MeasureTheory.JordanDecomposition.mutuallySingular

∀ {α : Type u_2} [inst : MeasurableSpace α] (self : MeasureTheory.JordanDecomposition α),
  self.posPart.MutuallySingular self.negPart
Defined in
Mathlib.MeasureTheory.VectorMeasure.Decomposition.Jordan
Cited by
3 results in Mathlib
Foundations
Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.JordanDecomposition.exists_compl_positive_negative · cited by 1JordanDecomposition.exist…MeasureTheory.SignedMeasure.jordanDecomposition_add_withDensity_mutuallySingular · cited by 1SignedMeasure.jordanDecom…MeasureTheory.SignedMeasure.singularPart_mutuallySingular · cited by 1SignedMeasure.singularPar…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure.MutuallySingular · cited by 91Measure.MutuallySingularMeasureTheory.JordanDecomposition.negPart · cited by 44JordanDecomposition.negPa…MeasureTheory.JordanDecomposition.posPart · cited by 43JordanDecomposition.posPa…MeasureTheory.JordanDecomposition · cited by 40MeasureTheory.JordanDecom…JordanDecomposition.mutuallyS…CITED BYCITES

Cites5

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Cited by3

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