LeanMachineLearning

Learning.pullCount_eq_of_stepsUntil_eq_coe๐Ÿ”—

Lemma

No docstring.

๐Ÿ”—theorem
Learning.pullCount_eq_of_stepsUntil_eq_coe.{u_1, u_3} {๐“ : Type u_1} {ฮฉ : Type u_3} [DecidableEq ๐“] {A : โ„• โ†’ ฮฉ โ†’ ๐“} {a : ๐“} {m n : โ„•} {ฯ‰ : ฮฉ} (hm : m โ‰  0) (h : stepsUntil A a m ฯ‰ = โ†‘n) : pullCount A a n ฯ‰ = m - 1
Learning.pullCount_eq_of_stepsUntil_eq_coe.{u_1, u_3} {๐“ : Type u_1} {ฮฉ : Type u_3} [DecidableEq ๐“] {A : โ„• โ†’ ฮฉ โ†’ ๐“} {a : ๐“} {m n : โ„•} {ฯ‰ : ฮฉ} (hm : m โ‰  0) (h : stepsUntil A a m ฯ‰ = โ†‘n) : pullCount A a n ฯ‰ = m - 1

Code

lemma pullCount_eq_of_stepsUntil_eq_coe {ฯ‰ : ฮฉ} (hm : m โ‰  0)
    (h : stepsUntil A a m ฯ‰ = n) :
    pullCount A a n ฯ‰ = m - 1
Proof
by
  have : n = (stepsUntil A a m ฯ‰).toNat := by simp [h]
  rw [this, pullCount_stepsUntil hm]
  exact exists_pullCount_eq (by simp [h])

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Meaning last changed in v4.34.0-rc1-3-g2cf8f3b (2026-08-20).

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

Dependency graph

Audit surface: 2 project declarations, 28 external constants

โœ“ 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.