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Theorems · Definition · measure theory

MeasureTheory.ProbabilityMeasure.prod

{α : Type u_1} →
  [inst : MeasurableSpace α] →
    {β : Type u_2} →
      [inst_1 : MeasurableSpace β] →
        MeasureTheory.ProbabilityMeasure α →
          MeasureTheory.ProbabilityMeasure β → MeasureTheory.ProbabilityMeasure (α × β)

The binary product of probability measures.

Defined in
Mathlib.MeasureTheory.Measure.FiniteMeasureProd
Cited by
9 results in Mathlib
Foundations
Depth 220 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.ProbabilityMeasure.prod_prod · cited by 1ProbabilityMeasure.prod_p…MeasureTheory.ProbabilityMeasure.map_fst_prod · cited by 0ProbabilityMeasure.map_fs…MeasureTheory.ProbabilityMeasure.map_prod_map · cited by 0ProbabilityMeasure.map_pr…MeasureTheory.ProbabilityMeasure.map_snd_prod · cited by 0ProbabilityMeasure.map_sn…MeasureTheory.ProbabilityMeasure.continuous_prod · cited by 0ProbabilityMeasure.contin…MeasureTheory.ProbabilityMeasure.prod_apply · cited by 0ProbabilityMeasure.prod_a…MeasureTheory.ProbabilityMeasure.prod_apply_symm · cited by 0ProbabilityMeasure.prod_a…MeasureTheory.ProbabilityMeasure.toMeasure_prod · cited by 0ProbabilityMeasure.toMeas…MeasureTheory.ProbabilityMeasure.prod_swap · cited by 0ProbabilityMeasure.prod_s…MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure.prod · cited by 353Measure.prodMeasureTheory.ProbabilityMeasure · cited by 127MeasureTheory.Probability…MeasureTheory.ProbabilityMeasure.toMeasure · cited by 78ProbabilityMeasure.toMeas…ProbabilityMeasure.prodCITED BYCITES

Cites4

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Cited by9

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