lean_workbook_plus_76824

⚠️ 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.

Now, we are left with a trivial inequality: $\frac{1}{n(n+1)} < \frac{1}{2010}$ , where $n \in \mathbb{N}.$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_76824 (n : ℕ) : 1 / (n * (n + 1)) < 1 / 2010   :=  by sorry

Real reciprocal comparison became natural division, and a condition on n became a universal theorem.

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

Proposed corrected statement

Solve the real inequality1/(n(n+1))<1/2010 for positive integer n; it holds exactly when n≥45. Do not assert it for every natural n.

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.