Theorems · Theorem · probability
ProbabilityTheory.condDistrib_self
∀ {α : Type u_1} {Ω : Type u_3} [inst : MeasurableSpace Ω] [inst_1 : StandardBorelSpace Ω] [inst_2 : Nonempty Ω]
{mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst_3 : MeasureTheory.IsFiniteMeasure μ] (Y : α → Ω),
⇑(ProbabilityTheory.condDistrib Y Y μ) =ᵐ[MeasureTheory.Measure.map Y μ] ⇑ProbabilityTheory.Kernel.id- Defined in
- Mathlib.Probability.Kernel.CondDistrib
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- StandardBorelSpacestatement and proof · cited by 304
- measurable_idproof · cited by 89
- ProbabilityTheory.Kernel.idstatement · cited by 72
- ProbabilityTheory.condDistribstatement · cited by 58
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