lean_workbook_plus_59085

⚠️ 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.

if $n$ is even, $a=1, b=\frac{-n}{2}, c=\frac{2-n}{2}$ for all $n$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_59085 (n : ℤ) (h : n % 2 = 0) : ∃ a b c : ℤ, a + b + c = n ∧ a = 1 ∧ b = -n / 2 ∧ c = (2 - n) / 2   :=  by sorry

The source excerpt only supplies a construction and does not specify its required equation.

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

Proposed corrected statement

For the displayed choices the sum is2−n, not n. Restore the actual relation these choices were intended to satisfy rather than adding a false sum condition.

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.