Theorems · Theorem · probability
ProbabilityTheory.posterior_id
∀ {Ω : Type u_1} {mΩ : MeasurableSpace Ω} [inst : StandardBorelSpace Ω] [inst_1 : Nonempty Ω]
(μ : MeasureTheory.Measure Ω) [inst_2 : MeasureTheory.IsFiniteMeasure μ],
⇑(ProbabilityTheory.posterior ProbabilityTheory.Kernel.id μ) =ᵐ[μ] ⇑ProbabilityTheory.Kernel.idThe posterior of the identity kernel is the identity kernel.
- Defined in
- Mathlib.Probability.Kernel.Posterior
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 339 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- StandardBorelSpacestatement and proof · cited by 304
- MeasureTheory.Measure.bindproof · cited by 173
- MeasureTheory.Measure.compProdproof · cited by 132
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.