lean_workbook_plus_14881

⚠️ 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.

Find $x$ , $y$ , and $z$ . $a = xy$ , $b = xz$ , and $c = yz$ . Our new system of equations is: $xy = 2$ $xz = 6$ $yz = 3$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_14881 (x y z a b c : ℝ) (h₁ : x * y = 2) (h₂ : x * z = 6) (h₃ : y * z = 3) : x = 3 ∧ y = 2 ∧ z = 3   :=  by sorry

The inserted triple is wrong and simultaneous sign reversal gives another real solution.

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

Proposed corrected statement

Prove the system has exactly(2,1,3) and(−2,−1,−3), or uniquely(2,1,3) if all three variables are required positive.

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.