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Theorems · Definition · measure theory

MeasureTheory.FiniteMeasure.pi

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

The product of finitely many finite measures.

Defined in
Mathlib.MeasureTheory.Measure.FiniteMeasurePi
Cited by
4 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.FiniteMeasure.pi_pi · cited by 1FiniteMeasure.pi_piMeasureTheory.FiniteMeasure.toMeasure_pi · cited by 0FiniteMeasure.toMeasure_piMeasureTheory.FiniteMeasure.pi_map_pi · cited by 0FiniteMeasure.pi_map_piMeasureTheory.FiniteMeasure.mass_pi · cited by 0FiniteMeasure.mass_piMeasurableSpace · cited by 13106MeasurableSpaceFintype · cited by 7736FintypeMeasureTheory.FiniteMeasure · cited by 150MeasureTheory.FiniteMeasu…MeasureTheory.Measure.pi · cited by 130Measure.piMeasureTheory.FiniteMeasure.toMeasure · cited by 87FiniteMeasure.toMeasureFiniteMeasure.piCITED BYCITES

Cites5

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Cited by4

Results whose statement or proof uses this declaration.