lean_workbook_plus_60839

⚠️ 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 $abc=1$, find the value of $a^2+b^2+c^2+2abc$.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_60839 (a b c : ℝ) (h : a * b * c = 1) : a ^ 2 + b ^ 2 + c ^ 2 + 2 * a * b * c = 1   :=  by sorry

The source asks to find a value from insufficient data; the formal theorem invents the constant 1.

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

Proposed corrected statement

Determine the range of a²+b²+c²+2abc subject to abc=1, or add the missing hypotheses needed to specify a value. The value is not uniquely determined.

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.