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Theorems · Theorem · measure theory

IsCountablySpanning.null_of_forall_restrict_null

∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α} {C : Set (Set α)},
  IsCountablySpanning C → (∀ t ∈ C, MeasurableSet t) → (∀ t ∈ C, (μ.restrict t) s = 0) → μ s = 0
Defined in
Mathlib.MeasureTheory.Measure.Restrict
Cited by
3 results in Mathlib
Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
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ConvexOn.map_condExp_le · cited by 4ConvexOn.map_condExp_leMeasureTheory.condExp_le_nonneg_const · cited by 2MeasureTheory.condExp_le_…Convex.condExp_mem · cited by 0Convex.condExp_memDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealMeasurableSet · cited by 3075MeasurableSetMeasureTheory.Measure.restrict · cited by 1646Measure.restrictMeasureTheory.Measure.restrict_apply' · cited by 32Measure.restrict_apply'IsCountablySpanning · cited by 12IsCountablySpanningMeasureTheory.Measure.forall_measure_inter_isCountablySpanning_eq_zero · cited by 2Measure.forall_measure_in…IsCountablySpanning.null_of_f…CITED BYCITES

Cites10

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