lean_workbook_plus_51830

⚠️ 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.

$A=\begin{pmatrix}0&1&0\\0&0&1\\0&0&0\end{pmatrix},\ B=\begin{pmatrix}1&0&0\\0&1&0\\0&0&0\end{pmatrix}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_51830 (A B : Matrix (Fin 3) (Fin 3) ℚ) (hA : A =![![0, 1, 0],![0, 0, 1],![0, 0, 0]]) (hB : B =![![1, 0, 0],![0, 1, 0],![0, 0, 0]]) : A * B = B * A   :=  by sorry

The source only supplies matrices; the formalization invents a false commutativity claim.

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 specified matrices, state AB≠BA, with the second-row third-column entries0 and1, or restore the original matrix-computation question.

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.