lean_workbook_plus_46539

⚠️ 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.

Express $a$ and $b$ in terms of $x = 2^4$ and $y = 2^8$ where $a = y^3 + x^3 + x^2y + yx^2$ and $b = y^{12} + x^{12}$, then simplify $\frac{b}{a}$.

Why this node was retired

The posted statement is

theorem lean_workbook_plus_46539 (x y a b : ℝ) (hx : x = 2^4) (hy : y = 2^8) (ha : a = y^3 + x^3 + x^2*y + y*x^2) (hb : b = y^12 + x^12) : (b / a : ℝ) = 2^9 + 2^6 + 2^3 + 1   :=  by sorry

The actual reduced rational value has not been calculated 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 exact computation of b/a from the supplied definitions and remove the invented small power sum.

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.