Theorems · Theorem · probability
ProbabilityTheory.Kernel.isProjectiveLimit_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.IsProjectiveLimit (ProbabilityTheory.Kernel.trajFun κ a x₀)
(MeasureTheory.inducedFamily fun n => (ProbabilityTheory.Kernel.partialTraj κ a n) x₀)- Cited by
- 2 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.
Cites30
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
- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.extproof · cited by 308
- Finset.Iicstatement and proof · cited by 280
- MeasureTheory.Measure.map_applyproof · cited by 139
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.traj_map_frestrictLeproof · cited by 10
- ProbabilityTheory.Kernel.eq_traj'proof · cited by 2