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Theorems · Theorem · measure theory

MeasureTheory.Measure.zero_prod

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] (ν : MeasureTheory.Measure β),
  MeasureTheory.Measure.prod 0 ν = 0
Defined in
Mathlib.MeasureTheory.Measure.Prod
Cited by
4 results in Mathlib
Foundations
Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpaceMeasurableSpace
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Around this declaration

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

MeasureTheory.MeasurePreserving.skew_product · cited by 5MeasurePreserving.skew_pr…ProbabilityTheory.Kernel.parallelComp_zero_left · cited by 1Kernel.parallelComp_zero_…MeasureTheory.Measure.zero_mconv · cited by 0Measure.zero_mconvMeasureTheory.Measure.zero_conv · cited by 0Measure.zero_convMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.map · cited by 858Measure.mapMeasureTheory.Measure.prod · cited by 353Measure.prodMeasureTheory.Measure.prod_def · cited by 6Measure.prod_defMeasureTheory.Measure.bind_zero_left · cited by 5Measure.bind_zero_leftMeasure.zero_prodCITED BYCITES

Cites6

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Cited by4

Results whose statement or proof uses this declaration.