Theorems · Theorem · probability
ProbabilityTheory.Kernel.measurable_coe
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
{s : Set β}, MeasurableSet s → Measurable fun a => (κ a) s- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 177 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.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Measurable.compproof · cited by 234
- MeasureTheory.Measure.measurable_coeproof · cited by 14
- ProbabilityTheory.Kernel.measurableproof · cited by 12
Cited by44
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.compProd_applyproof · cited by 31
- ProbabilityTheory.Kernel.comp_idproof · cited by 8
- ProbabilityTheory.Kernel.measurable_rnDerivAuxproof · cited by 8
- ProbabilityTheory.Kernel.comp_deterministic_eq_comapproof · cited by 5
- ProbabilityTheory.Kernel.parallelComp_id_left_comp_parallelCompproof · cited by 5
- ProbabilityTheory.measurable_condExpKernelproof · cited by 4
- ProbabilityTheory.Kernel.swap_parallelCompproof · cited by 4
- ProbabilityTheory.avgRisk_countable'proof · cited by 3
- MeasureTheory.Measure.absolutelyContinuous_of_compProdproof · cited by 3
- ProbabilityTheory.Kernel.comp_nullproof · cited by 2
- ProbabilityTheory.Kernel.comp_sum_leftproof · cited by 2
- ProbabilityTheory.setLIntegral_toKernel_univproof · cited by 2