lean_workbook_plus_55106

⚠️ 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.

Solve the following system of equations in $\mathbb{R}^2$ \n $4x^2+7xy=7y+2$ , $4xy+7y^2=4x+2$ .

Why this node was retired

The posted statement is

theorem lean_workbook_plus_55106 (x y : ℝ) (h₁ : 4*x^2 + 7*x*y = 7*y + 2) (h₂ : 4*x*y + 7*y^2 = 4*x + 2) : x = 1 ∧ y = 0   :=  by sorry

A complete replacement solution set has not been established in this audit.

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

Proposed corrected statement

Restore the find-all-solutions task and remove the invented pair(1,0); the valid pair(5/6,2/3) must be included.

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.