lean_workbook_plus_15791

⚠️ 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.

From the first equation we get\n\n $b=2-a^2$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_15791 (a b : ℝ) (h₁ : a + b = 2) (h₂ : a * b = -1) : b = 2 - a^2   :=  by sorry

The formal hypotheses were invented from an excerpt referring to an absent system.

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 original first equation a²+b=2 if the displayed conclusion is intended; under the posted a+b=2 the correct rearrangement is b=2−a.

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.