Theorems · Theorem · probability
ProbabilityTheory.Kernel.ae_eq_of_compProd_eq
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
{κ η : ProbabilityTheory.Kernel α β} [MeasurableSpace.CountableOrCountablyGenerated α β]
[MeasureTheory.IsFiniteMeasure μ] [ProbabilityTheory.IsFiniteKernel κ] [ProbabilityTheory.IsFiniteKernel η],
μ.compProd κ = μ.compProd η → ⇑κ =ᵐ[μ] ⇑η- Defined in
- Mathlib.Probability.Kernel.CompProdEqIff
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 336 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Top.topproof · cited by 9,680
- Filter.Eventuallyproof · cited by 3,134
- MeasurableSetproof · cited by 3,075
- one_mulproof · cited by 2,841
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.compProd_eq_iffproof · cited by 1
- ProbabilityTheory.ae_eq_posterior_of_compProd_eqproof · cited by 1
- ProbabilityTheory.deterministic_comp_posteriorproof · cited by 0