Theorems · Inductive type · probability
ProbabilityTheory.IsZeroOrMarkovKernel
{α : Type u_1} →
{β : Type u_2} → {mα : MeasurableSpace α} → {mβ : MeasurableSpace β} → ProbabilityTheory.Kernel α β → PropA class for kernels which are zero or a Markov kernel.
- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 2 from the axioms · 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 by34
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepSets.indepstatement and proof · cited by 9
- ProbabilityTheory.eq_zero_or_isMarkovKernelstatement and proof · cited by 5
- ProbabilityTheory.Kernel.indep_bot_rightstatement and proof · cited by 5
- ProbabilityTheory.Kernel.indep_iSup_of_directed_lestatement and proof · cited by 5
- ProbabilityTheory.Kernel.IndepFun.process_indepFunstatement and proof · cited by 4
- ProbabilityTheory.Kernel.indepFun_const_leftstatement and proof · cited by 3
- ProbabilityTheory.Kernel.indepSet_empty_rightstatement and proof · cited by 3
- ProbabilityTheory.Kernel.indepSet_iff_indepSets_singletonstatement and proof · cited by 3
- ProbabilityTheory.Kernel.IndepSets.indep'statement and proof · cited by 3
- ProbabilityTheory.Kernel.indepFun_const_rightstatement and proof · cited by 2
- ProbabilityTheory.Kernel.indepFun_iff_indepSet_preimagestatement and proof · cited by 2
- ProbabilityTheory.Kernel.indepSet_empty_leftstatement and proof · cited by 2