Mathlib Map

Theorems · Theorem · probability

MeasureTheory.Measure.compProd_apply_univ

∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
  {κ : ProbabilityTheory.Kernel α β} [MeasureTheory.SFinite μ] [ProbabilityTheory.IsMarkovKernel κ],
  (μ.compProd κ) Set.univ = μ Set.univ
Defined in
Mathlib.Probability.Kernel.Composition.MeasureCompProd
Cited by
1 results in Mathlib
Foundations
Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.SFiniteProbabilityTheory.IsMarkovKernel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

InformationTheory.klDiv_compProd_eq_add · cited by 0InformationTheory.klDiv_c…DFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealSet.univ · cited by 3945Set.univProbabilityTheory.Kernel · cited by 1281ProbabilityTheory.KernelMeasureTheory.SFinite · cited by 449MeasureTheory.SFiniteMeasureTheory.Measure.compProd · cited by 132Measure.compProdProbabilityTheory.IsMarkovKernel · cited by 124ProbabilityTheory.IsMarko…ProbabilityTheory.Kernel.compProd_apply_univ · cited by 1Kernel.compProd_apply_univMeasure.compProd_apply_univCITED BYCITES

Cites11

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.