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Theorems · Definition · measure theory

MeasureTheory.ProbabilityMeasure.pi

{ι : Type u_1} →
  {α : ι → Type u_2} →
    [Fintype ι] →
      [inst : (i : ι) → MeasurableSpace (α i)] →
        ((i : ι) → MeasureTheory.ProbabilityMeasure (α i)) → MeasureTheory.ProbabilityMeasure ((i : ι) → α i)

The product of finitely many probability measures.

Defined in
Mathlib.MeasureTheory.Measure.FiniteMeasurePi
Cited by
3 results in Mathlib
Foundations
Depth 234 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeMeasurableSpace
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Around this declaration

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

MeasureTheory.ProbabilityMeasure.pi_pi · cited by 1ProbabilityMeasure.pi_piMeasureTheory.ProbabilityMeasure.toMeasure_pi · cited by 0ProbabilityMeasure.toMeas…MeasureTheory.ProbabilityMeasure.continuous_pi · cited by 0ProbabilityMeasure.contin…MeasurableSpace · cited by 13106MeasurableSpaceFintype · cited by 7736FintypeMeasureTheory.Measure.pi · cited by 130Measure.piMeasureTheory.ProbabilityMeasure · cited by 127MeasureTheory.Probability…MeasureTheory.ProbabilityMeasure.toMeasure · cited by 78ProbabilityMeasure.toMeas…ProbabilityMeasure.piCITED BYCITES

Cites5

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Cited by3

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