lean_workbook_plus_77288

⚠️ 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.

Calculate the inequality $\frac{1}{3} + \frac{1}{2} + 1 \geq 1 + 1 + \frac{1}{4}$ which arises from the application of Theorem 4 to the weighted arrays $A$ and $B$ with the function $f(x) = \frac{1}{x}$.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_77288 : 1 / 3 + 1 / 2 + 1 ≥ 1 + 1 + 1 / 4   :=  by sorry

The source comparison is already false over ℚ:11/6<9/4, independently of natural-division mistyping.

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

Proposed corrected statement

Use rational/real arithmetic and reverse the displayed comparison to1/3+1/2+1<1+1+1/4.

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.