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Theorems · Definition · measure theory

MeasureTheory.IsSeparable.casesOn

{X : Type u_1} →
  [m : MeasurableSpace X] →
    {μ : MeasureTheory.Measure X} →
      {motive : MeasureTheory.IsSeparable μ → Sort u} →
        (t : MeasureTheory.IsSeparable μ) →
          ((exists_countable_measureDense : ∃ 𝒜, 𝒜.Countable ∧ μ.MeasureDense 𝒜) → motive ⋯) → motive t
Defined in
Mathlib.MeasureTheory.Measure.SeparableMeasure
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Foundations
Depth 8 from the axioms · uses no axioms
Assumes
MeasurableSpace
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Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureSet.Countable · cited by 545Set.CountableMeasureTheory.Measure.MeasureDense · cited by 13Measure.MeasureDenseMeasureTheory.IsSeparable · cited by 3MeasureTheory.IsSeparableIsSeparable.casesOnCITED BYCITES

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