lean_workbook_plus_53032

⚠️ 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.

For $y > 0$, showing that the equation has no positive real solutions: $57y^4-21y^3+14y^2-3y+3=(2y-1)^4+(41y^4-10y^2+2)+(11y^3+5y)>0$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_53032 (y : ℝ) (hy : 0 < y) : ¬ (57*y^4-21*y^3+14*y^2-3*y+3 = (2*y-1)^4+(41*y^4-10*y^2+2)+(11*y^3+5*y))   :=  by sorry

The formal statement negates the source polynomial identity instead of proving its strict positivity.

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 displayed decomposition equality and that its common value is >0 for y>0.

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.