Theorems · Theorem · probability
ProbabilityTheory.measurable_condExpKernel
∀ {Ω : Type u_1} {m : MeasurableSpace Ω} [mΩ : MeasurableSpace Ω] [inst : StandardBorelSpace Ω]
{μ : MeasureTheory.Measure Ω} [inst_1 : MeasureTheory.IsFiniteMeasure μ] {s : Set Ω},
MeasurableSet s → Measurable fun ω => ((ProbabilityTheory.condExpKernel μ m) ω) s- Defined in
- Mathlib.Probability.Kernel.Condexp
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 283 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- Measurablestatement · cited by 1,499
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- StandardBorelSpacestatement and proof · cited by 304
- ProbabilityTheory.condExpKernelstatement and proof · cited by 49
- ProbabilityTheory.Kernel.measurable_coeproof · cited by 44
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iCondIndepSets_iffproof · cited by 2
- ProbabilityTheory.stronglyMeasurable_condExpKernelproof · cited by 2
- ProbabilityTheory.condIndepSets_iffproof · cited by 2
- ProbabilityTheory.condExpKernel_ae_eq_trim_condExpproof · cited by 0