Theorems · Theorem · probability
ProbabilityTheory.stronglyMeasurable_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 → MeasureTheory.StronglyMeasurable fun ω => ((ProbabilityTheory.condExpKernel μ m) ω) s- Defined in
- Mathlib.Probability.Kernel.Condexp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 284 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.StronglyMeasurablestatement · cited by 363
- StandardBorelSpacestatement and proof · cited by 304
- ProbabilityTheory.condExpKernelstatement · cited by 49
- Measurable.stronglyMeasurableproof · cited by 47
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iCondIndepSets_iffproof · cited by 2
- ProbabilityTheory.condIndepSets_iffproof · cited by 2