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Theorems · Theorem · measure theory

MeasureTheory.measureReal_inter_add_diff

Deprecated since 2026-06-03Use MeasureTheory.measureReal_inter_add_sdiff instead.

∀ {α : Type u_1} {x : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
  MeasurableSet t →
    autoParam (μ s ≠ ⊤) MeasureTheory.measureReal_inter_add_sdiff._auto_1 → μ.real (s ∩ t) + μ.real (s \ t) = μ.real s

Alias of MeasureTheory.measureReal_inter_add_sdiff.

Defined in
Mathlib.MeasureTheory.Measure.Real
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Foundations
Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetReal · cited by 25697RealMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealTop.top · cited by 9680Top.topMeasurableSet · cited by 3075MeasurableSetMeasureTheory.Measure.real · cited by 530Measure.realMeasureTheory.measureReal_inter_add_sdiff · cited by 2MeasureTheory.measureReal…MeasureTheory.measureReal_int…CITED BYCITES

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