Theorems · Inductive type · probability
ProbabilityTheory.IsSFiniteKernel
{α : Type u_1} →
{β : Type u_2} → {mα : MeasurableSpace α} → {mβ : MeasurableSpace β} → ProbabilityTheory.Kernel α β → PropA kernel is s-finite if it can be written as the sum of countably many finite kernels.
- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 248 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
- ProbabilityTheory.Kernelstatement · cited by 1,281
Cited by258
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.withDensitystatement and proof · cited by 45
- ProbabilityTheory.Kernel.compProd_applystatement and proof · cited by 31
- MeasureTheory.Measure.compProd_applystatement and proof · cited by 18
- ProbabilityTheory.Kernel.parallelComp_applystatement and proof · cited by 18
- ProbabilityTheory.Kernel.singularPartstatement · cited by 17
- ProbabilityTheory.Kernel.prod_applystatement and proof · cited by 15
- ProbabilityTheory.Kernel.withDensity_applystatement and proof · cited by 15
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_leftstatement and proof · cited by 12
- ProbabilityTheory.Kernel.measurable_kernel_prodMk_leftstatement and proof · cited by 12
- ProbabilityTheory.Kernel.seqstatement and proof · cited by 12
- MeasureTheory.Measure.snd_compProdstatement and proof · cited by 11
- MeasureTheory.Measure.compProd_eq_comp_prodstatement and proof · cited by 10
Showing the 200 most cited of 258.