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Theorems · Theorem · measure theory

Set.Countable.measure_restrict_compl

∀ {α : Type u_1} {m0 : MeasurableSpace α} {s : Set α},
  s.Countable → ∀ (μ : MeasureTheory.Measure α) [MeasureTheory.NullSingletonClass μ], μ.restrict sᶜ = μ
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.NullSingletonClass
Cited by
1 results in Mathlib
Foundations
Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.NullSingletonClass
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Around this declaration

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

MeasureTheory.restrict_compl_singleton · cited by 2MeasureTheory.restrict_co…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureCompl.compl · cited by 2925Compl.complMeasureTheory.Measure.restrict · cited by 1646Measure.restrictSet.Countable · cited by 545Set.CountableMeasureTheory.NullSingletonClass · cited by 125MeasureTheory.NullSinglet…MeasureTheory.Measure.restrict_eq_self_of_ae_mem · cited by 10Measure.restrict_eq_self_…Set.Countable.ae_notMem · cited by 6Countable.ae_notMemCountable.measure_restrict_co…CITED BYCITES

Cites9

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Cited by1

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