lean_workbook_plus_26135

⚠️ 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.

Evaluate $2011\\cdot{20122012}\\cdot{201320132013}-2013\\cdot{20112011}\\cdot{201220122012}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_26135 (a b c : ℕ) : 2011 * (2012 * (2012 + 1)) * (2013 * (2013 + 1) * (2013 + 2)) - 2013 * (2011 * (2011 + 1)) * (2012 * (2012 + 1) * (2012 + 2)) = 0   :=  by sorry

Repeated decimal digit blocks were replaced by products of consecutive integers.

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

Proposed corrected statement

Evaluate the exact integer 201120122012201320132013−201320112011201220122012, with digit concatenations encoded as those numerals.

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.