Theorems · Theorem · probability
ProbabilityTheory.Kernel.fst_eq
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel α (β × γ)), κ.fst = κ.map Prod.fst- Cited by
- 7 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.Kernel.mapstatement and proof · cited by 84
- ProbabilityTheory.Kernel.fststatement · cited by 81
- measurable_fstproof · cited by 79
- ProbabilityTheory.Kernel.mapOfMeasurable_eq_mapproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- ProbabilityTheory.Kernel.fst_compproof · cited by 1
- ProbabilityTheory.Kernel.partialTraj_succ_map_frestrictLe₂proof · cited by 1
- ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProdproof · cited by 1
- ProbabilityTheory.HasCondDistrib.fstproof · cited by 1
- ProbabilityTheory.Kernel.lintegral_fstproof · cited by 0
- ProbabilityTheory.bayesRisk_compProd_le_bayesRiskproof · cited by 0