Theorems · Theorem · probability
ProbabilityTheory.Kernel.trajFun.congr_simp
∀ {X : ℕ → Type u_1} [inst : (n : ℕ) → MeasurableSpace (X n)]
(κ κ_1 : (n : ℕ) → ProbabilityTheory.Kernel ((i : ↥(Finset.Iic n)) → X ↑i) (X (n + 1))) (e_κ : κ = κ_1)
[inst_1 : ∀ (n : ℕ), ProbabilityTheory.IsMarkovKernel (κ n)] (a : ℕ) (x₀ x₀_1 : (i : ↥(Finset.Iic a)) → X ↑i),
x₀ = x₀_1 → ProbabilityTheory.Kernel.trajFun κ a x₀ = ProbabilityTheory.Kernel.trajFun κ_1 a x₀_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 267 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- Finset.Iicstatement and proof · cited by 280
- ProbabilityTheory.IsMarkovKernelstatement and proof · cited by 124
- ProbabilityTheory.Kernel.trajFunstatement and proof · cited by 6
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