Theorems · Theorem · measure theory

MeasureTheory.isProbabilityMeasure_join

∀ {α : Type u_1} [inst : MeasurableSpace α] {m : MeasureTheory.Measure (MeasureTheory.Measure α)}
  [MeasureTheory.IsProbabilityMeasure m],
  (∀ᵐ (μ : MeasureTheory.Measure α) ∂m, MeasureTheory.IsProbabilityMeasure μ) →
    MeasureTheory.IsProbabilityMeasure m.join

Defined in: Mathlib.MeasureTheory.Measure.ProbabilityMeasure
Cited by: 0 results in Mathlib
Foundations: Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace MeasureTheory.IsProbabilityMeasure

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
Filter.Eventuallystatement and proof · cited by 3,134
MeasureTheory.aestatement and proof · cited by 2,352
MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
MeasureTheory.Measure.joinstatement · cited by 26
MeasureTheory.Measure.join_applyproof · cited by 12
MeasureTheory.lintegral_eq_constproof · cited by 3

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