Theorems · Definition · probability

ProbabilityTheory.Kernel.sectR

{α : Type u_1} →
  {β : Type u_2} →
    {mα : MeasurableSpace α} →
      {mβ : MeasurableSpace β} →
        {γ : Type u_4} →
          {mγ : MeasurableSpace γ} → ProbabilityTheory.Kernel (α × β) γ → α → ProbabilityTheory.Kernel β γ

Define a Kernel β γ from a Kernel (α × β) γ by taking the comap of fun b ↦ (a, b) for a given a : α.

Defined in: Mathlib.Probability.Kernel.Composition.MapComap
Cited by: 8 results in Mathlib
Foundations: Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites3

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.comapproof · cited by 34

Cited by8

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.sectR_applystatement · cited by 1
ProbabilityTheory.Kernel.sectR_prodMkLeftstatement · cited by 1
ProbabilityTheory.Kernel.sectL_swapRightstatement · cited by 0
ProbabilityTheory.Kernel.sectR_prodMkRightstatement · cited by 0
ProbabilityTheory.Kernel.sectR_swapRightstatement · cited by 0
ProbabilityTheory.Kernel.sectR_zerostatement · cited by 0
ProbabilityTheory.Kernel.comap_sectRstatement and proof · cited by 0
ProbabilityTheory.Kernel.compProd_apply_eq_compProd_sectRstatement and proof · cited by 0