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Theorems · Definition · measure theory

MeasureTheory.FiniteMeasure.prod

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

The binary product of finite measures.

Defined in
Mathlib.MeasureTheory.Measure.FiniteMeasureProd
Cited by
11 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.FiniteMeasure.mass_prod · cited by 2FiniteMeasure.mass_prodMeasureTheory.FiniteMeasure.prod_apply_symm · cited by 0FiniteMeasure.prod_apply_…MeasureTheory.FiniteMeasure.prod_prod · cited by 0FiniteMeasure.prod_prodMeasureTheory.FiniteMeasure.prod_swap · cited by 0FiniteMeasure.prod_swapMeasureTheory.FiniteMeasure.prod_zero · cited by 0FiniteMeasure.prod_zeroMeasureTheory.FiniteMeasure.zero_prod · cited by 0FiniteMeasure.zero_prodMeasureTheory.FiniteMeasure.map_fst_prod · cited by 0FiniteMeasure.map_fst_prodMeasureTheory.FiniteMeasure.map_prod_map · cited by 0FiniteMeasure.map_prod_mapMeasureTheory.FiniteMeasure.map_snd_prod · cited by 0FiniteMeasure.map_snd_prodMeasureTheory.FiniteMeasure.toMeasure_prod · cited by 0FiniteMeasure.toMeasure_p…MeasureTheory.FiniteMeasure.prod_apply · cited by 0FiniteMeasure.prod_applyMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure.prod · cited by 353Measure.prodMeasureTheory.FiniteMeasure · cited by 150MeasureTheory.FiniteMeasu…MeasureTheory.FiniteMeasure.toMeasure · cited by 87FiniteMeasure.toMeasureFiniteMeasure.prodCITED BYCITES

Cites4

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Cited by11

Results whose statement or proof uses this declaration.