Learning.measurable_uncurry_pullCount_comp🔗

Learning.measurable_uncurry_pullCount_comp.{u_1, u_3} {𝓐 : Type u_1}
  {Ω : Type u_3} {m𝓐 : MeasurableSpace 𝓐} {mΩ : MeasurableSpace Ω}
  [DecidableEq 𝓐] {A : ℕ → Ω → 𝓐} [Countable 𝓐]
  [MeasurableSingletonClass 𝓐] (hA : ∀ (n : ℕ), Measurable (A n))
  {f : Ω → 𝓐} (hf : Measurable f) {g : Ω → ℕ} (hg : Measurable g) :
  Measurable fun ω => pullCount A (f ω) (g ω) ω
Learning.measurable_uncurry_pullCount_comp.{u_1,
    u_3}
  {𝓐 : Type u_1} {Ω : Type u_3}
  {m𝓐 : MeasurableSpace 𝓐}
  {mΩ : MeasurableSpace Ω} [DecidableEq 𝓐]
  {A : ℕ → Ω → 𝓐} [Countable 𝓐]
  [MeasurableSingletonClass 𝓐]
  (hA : ∀ (n : ℕ), Measurable (A n))
  {f : Ω → 𝓐} (hf : Measurable f)
  {g : Ω → ℕ} (hg : Measurable g) :
  Measurable fun ω =>
    pullCount A (f ω) (g ω) ω

lemma measurable_uncurry_pullCount_comp [Countable 𝓐] [MeasurableSingletonClass 𝓐]
    (hA : ∀ n, Measurable (A n)) {f : Ω → 𝓐} (hf : Measurable f) {g : Ω → ℕ} (hg : Measurable g) :
    Measurable (fun ω ↦ pullCount A (f ω) (g ω) ω)

by
  change Measurable ((fun aω ↦ pullCount A aω.1 (g aω.2) aω.2) ∘ fun ω ↦ (f ω, ω))
  apply Measurable.comp _ (by fun_prop)
  refine measurable_from_prod_countable_right fun a ↦ ?_
  change Measurable ((fun tω ↦ pullCount A a tω.1 tω.2) ∘ fun ω ↦ (g ω, ω))
  apply Measurable.comp _ (by fun_prop)
  exact measurable_from_prod_countable_right (fun t ↦ measurable_pullCount hA a t)

Meaning unchanged since v4.33.0-rc1-29-gce231eb, the oldest revision on record (2026-07-30).

Self-contained, with its dependencies inlined and proofs replaced by sorry: download the raw file · open it in the Lean web editor.

Dependency graph

Audit surface: 1 project declarations, 11 external constants

✓ Proved: no sorry anywhere in its closure

This is the tool's own reading of one build's recorded axioms, and it is not robust against an author who wants it to pass. Checking meant to be relied on should go through Comparator, which replays the proof through the kernel from an export against an explicit list of permitted axioms.