lean_workbook_plus_67013

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Claim: At formation point of a pile with $x$ stones, if these stones are spread over $y$ boxes, then $x \le 2^{y-1}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_67013 (x y : ℕ) (h₁ : 0 < y) (h₂ : 2^y < x) : x ≤ 2^(y-1)   :=  by sorry

The rules of the process are absent from the excerpt, so the exact corrected reachability theorem needs source clarification.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Formalize the permitted stone-movement process and “formation point” predicate, then relate x,y to a reachable configuration; remove the invented opposite-size hypothesis2^y<x.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.