LeanMachineLearning exposition

Learning.IT.measurable_step🔗

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Minimal Lean file

measurable_step🔗

LemmaLearning.IT.measurable_step
Details

No docstring.

🔗theorem
Learning.IT.measurable_step.{u_1, u_2} {𝓐 : Type u_1} {𝓨 : Type u_2}
  {m𝓐 : MeasurableSpace 𝓐} {m𝓨 : MeasurableSpace 𝓨} (n : ℕ) :
  Measurable (step n)
Learning.IT.measurable_step.{u_1, u_2}
  {𝓐 : Type u_1} {𝓨 : Type u_2}
  {m𝓐 : MeasurableSpace 𝓐}
  {m𝓨 : MeasurableSpace 𝓨} (n : ℕ) :
  Measurable (step n)

Code

lemma measurable_step (n : ℕ) : Measurable (step n (𝓐
Type uses (1)
Used by (5)

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Proof
𝓐) (𝓨 := 𝓨)) := by
  unfold step; fun_prop

Dependency graph

Type dependencies (1)

step🔗

DefinitionLearning.IT.step
Details

Action and feedback at step n.

🔗def
Learning.IT.step.{u_1, u_2} {𝓐 : Type u_1} {𝓨 : Type u_2} (n : ℕ)
  (h : ℕ → 𝓐 × 𝓨) : 𝓐 × 𝓨
Learning.IT.step.{u_1, u_2} {𝓐 : Type u_1}
  {𝓨 : Type u_2} (n : ℕ) (h : ℕ → 𝓐 × 𝓨) :
  𝓐 × 𝓨

Code

def step (n : ℕ) (h : ℕ → 𝓐 × 𝓨) : 𝓐 × 𝓨 := h n
Used by (13)

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