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Theorems · Theorem · measure theory

MeasureTheory.Measure.mutually_singular_measure_sub

∀ {X : Type u_1} {mX : MeasurableSpace X} {μ ν : MeasureTheory.Measure X} [MeasureTheory.IsFiniteMeasure μ]
  [MeasureTheory.IsFiniteMeasure ν], (μ - ν).MutuallySingular (ν - μ)
Defined in
Mathlib.MeasureTheory.VectorMeasure.Decomposition.JordanSub
Cited by
0 results in Mathlib
Foundations
Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.IsFiniteMeasureMeasureTheory.IsFiniteMeasure
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Around this declaration

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MeasureTheory.Measure.jordanDecompositionOfToSignedMeasureSub · cited by 5Measure.jordanDecompositi…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…MeasureTheory.Measure.MutuallySingular · cited by 91Measure.MutuallySingularMeasureTheory.IsHahnDecomposition · cited by 10MeasureTheory.IsHahnDecom…MeasureTheory.IsHahnDecomposition.measurableSet · cited by 6IsHahnDecomposition.measu…MeasureTheory.exists_isHahnDecomposition · cited by 3MeasureTheory.exists_isHa…MeasureTheory.Measure.sub_apply_eq_zero_of_isHahnDecomposition · cited by 2Measure.sub_apply_eq_zero…MeasureTheory.IsHahnDecomposition.compl · cited by 2IsHahnDecomposition.complMeasure.mutually_singular_mea…CITED BYCITES

Cites10

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Cited by1

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