Theorems · Inductive type · probability
ProbabilityTheory.IsFiniteKernel
{α : Type u_1} →
{β : Type u_2} → {mα : MeasurableSpace α} → {mβ : MeasurableSpace β} → ProbabilityTheory.Kernel α β → PropA kernel is finite if every measure in its image is finite, with a uniform bound.
- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 178 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 by197
Results whose statement or proof uses this declaration.
- ProbabilityTheory.posteriorstatement and proof · cited by 30
- ProbabilityTheory.Kernel.condKernelstatement · cited by 16
- ProbabilityTheory.Kernel.rnDeriv_eq_rnDeriv_measurestatement and proof · cited by 13
- ProbabilityTheory.Kernel.rnDeriv_add_singularPartstatement and proof · cited by 7
- ProbabilityTheory.IsArgminEstimatorstatement · cited by 6
- ProbabilityTheory.Kernel.integrable_densitystatement and proof · cited by 6
- ProbabilityTheory.Kernel.mutuallySingular_singularPartstatement and proof · cited by 6
- MeasureTheory.Measure.AbsolutelyContinuous.kernel_of_compProdstatement and proof · cited by 5
- ProbabilityTheory.Kernel.bound_lt_topstatement and proof · cited by 4
- ProbabilityTheory.absolutelyContinuous_posteriorstatement and proof · cited by 4
- ProbabilityTheory.compProd_posterior_eq_map_swapstatement and proof · cited by 4
- ProbabilityTheory.compProd_posterior_eq_swap_compstatement and proof · cited by 4