Theorems · Theorem · probability
ProbabilityTheory.Kernel.aemeasurable
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
{μ : MeasureTheory.Measure α}, AEMeasurable (⇑κ) μ- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 15 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- AEMeasurablestatement · cited by 840
- Measurable.aemeasurableproof · cited by 304
- ProbabilityTheory.Kernel.measurableproof · cited by 12
Cited by15
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.comp_apply'proof · cited by 28
- MeasureTheory.Measure.comp_assocproof · cited by 17
- MeasureTheory.Measure.snd_compProdproof · cited by 11
- ProbabilityTheory.Kernel.lintegral_compproof · cited by 9
- MeasureTheory.Measure.map_compproof · cited by 4
- ProbabilityTheory.Kernel.swap_parallelCompproof · cited by 4
- ProbabilityTheory.boolKernel_comp_measureproof · cited by 2
- MeasureTheory.Measure.AbsolutelyContinuous.comp_leftproof · cited by 1
- MeasureTheory.Measure.AbsolutelyContinuous.comp_rightproof · cited by 1
- MeasureTheory.Measure.comp_apply_univproof · cited by 1
- MeasureTheory.Measure.comp_compProd_commproof · cited by 1
- MeasureTheory.Measure.prod_comp_rightproof · cited by 1