Theorems · Theorem · probability
ProbabilityTheory.Kernel.IsMarkovKernel.comapRight
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
{mγ : MeasurableSpace γ} {f : γ → β} (κ : ProbabilityTheory.Kernel α β) (hf : MeasurableEmbedding f),
(∀ (a : α), (κ a) (Set.range f) = 1) → ProbabilityTheory.IsMarkovKernel (κ.comapRight hf)- Defined in
- Mathlib.Probability.Kernel.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.rangestatement and proof · cited by 4,705
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Set.image_univproof · cited by 322
- MeasurableSet.univproof · cited by 178
- MeasurableEmbeddingstatement and proof · cited by 170
- ProbabilityTheory.IsMarkovKernelstatement · cited by 124
- ProbabilityTheory.Kernel.comapRightstatement · cited by 8
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