Theorems · Theorem · probability
ProbabilityTheory.Kernel.isProbabilityMeasure_trajFun
∀ {X : ℕ → Type u_1} [inst : (n : ℕ) → MeasurableSpace (X n)]
(κ : (n : ℕ) → ProbabilityTheory.Kernel ((i : ↥(Finset.Iic n)) → X ↑i) (X (n + 1)))
[inst_1 : ∀ (n : ℕ), ProbabilityTheory.IsMarkovKernel (κ n)] (a : ℕ) (x₀ : (i : ↥(Finset.Iic a)) → X ↑i),
MeasureTheory.IsProbabilityMeasure (ProbabilityTheory.Kernel.trajFun κ a x₀)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 268 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.univproof · cited by 3,945
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.IsProbabilityMeasurestatement · cited by 392
- Finset.Iicstatement and proof · cited by 280
- MeasurableSet.univproof · cited by 178
- MeasureTheory.IsProbabilityMeasure.measure_univproof · cited by 135
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_trajFunproof · cited by 0