Theorems · Theorem · probability
MeasureTheory.Measure.compProd_of_not_isSFiniteKernel
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (μ : MeasureTheory.Measure α)
(κ : ProbabilityTheory.Kernel α β), ¬ProbabilityTheory.IsSFiniteKernel κ → μ.compProd κ = 0- Cited by
- 10 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- zero_applyproof · cited by 251
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
- MeasureTheory.Measure.compProdstatement · cited by 132
- ProbabilityTheory.Kernel.constproof · cited by 93
- ProbabilityTheory.Kernel.prodMkLeftproof · cited by 38
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_rightproof · cited by 8
- ProbabilityTheory.Kernel.isSFiniteKernel_prodMkLeft_unitproof · cited by 1
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.AbsolutelyContinuous.compProd_leftproof · cited by 5
- MeasureTheory.Measure.MutuallySingular.compProd_of_leftproof · cited by 5
- MeasureTheory.Measure.AbsolutelyContinuous.compProd_rightproof · cited by 4
- MeasureTheory.Measure.compProd_add_leftproof · cited by 4
- MeasureTheory.Measure.absolutelyContinuous_of_compProdproof · cited by 3
- MeasureTheory.Measure.compProd_eq_parallelComp_comp_copy_compproof · cited by 2
- ProbabilityTheory.Kernel.HasSubgaussianMGF.prodMkLeft_compProdproof · cited by 1
- MeasureTheory.Measure.comp_compProd_commproof · cited by 1
- MeasureTheory.Measure.compProd_assocproof · cited by 1
- MeasureTheory.Measure.IsCondKernel.isSFiniteKernelproof · cited by 0