Theorems · Theorem · probability
MeasureTheory.Measure.disintegrate
∀ {α : Type u_1} {Ω : Type u_3} {mα : MeasurableSpace α} {mΩ : MeasurableSpace Ω} (ρ : MeasureTheory.Measure (α × Ω))
(ρCond : ProbabilityTheory.Kernel α Ω) [ρ.IsCondKernel ρCond], ρ.fst.compProd ρCond = ρ- Cited by
- 12 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.compProdstatement · cited by 132
- MeasureTheory.Measure.fststatement · cited by 70
- MeasureTheory.Measure.IsCondKernelstatement and proof · cited by 6
- MeasureTheory.Measure.IsCondKernel.disintegrateproof · cited by 1
Cited by12
Results whose statement or proof uses this declaration.
- ProbabilityTheory.compProd_map_condDistribproof · cited by 6
- ProbabilityTheory.compProd_posterior_eq_map_swapproof · cited by 4
- MeasureTheory.AEStronglyMeasurable.integral_condKernelproof · cited by 3
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProdproof · cited by 3
- MeasureTheory.AEStronglyMeasurable.ae_integrable_condKernel_iffproof · cited by 3
- MeasureTheory.Measure.setIntegral_condKernelproof · cited by 2
- MeasureTheory.Measure.setLIntegral_condKernel_eq_measure_prodproof · cited by 2
- MeasureTheory.Measure.setLIntegral_condKernelproof · cited by 2
- MeasureTheory.Measure.lintegral_condKernelproof · cited by 0
- MeasureTheory.Measure.lintegral_condKernel_memproof · cited by 0
- MeasureTheory.Measure.IsCondKernel.isSFiniteKernelproof · cited by 0
- MeasureTheory.Measure.integral_condKernelproof · cited by 0