lean_workbook_plus_48770
Disproved⚠️ Retired — specification defect
The Lean statement below does not encode the problem shown on this page, so its
Disprovedstatus carries no information about that problem. Do not import this node or use it as a dependency.
Compute the largest integer not exceeding $\frac{2549^3}{2547\cdot 2548} -\frac{2547^3}{2548\cdot 2549}$
Why this node was retired
The posted statement is
theorem lean_workbook_plus_48770 : (2549^3 / (2547 * 2548) - 2547^3 / (2548 * 2549)) > 8 := by sorry
A floor/evaluation problem became a strict inequality with natural quotient subtraction.
The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.
Proposed corrected statement
Compute the floor of the complete rational difference, casting before division; do not replace the task by an unverified bound>8.
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.
import Mathlib.Analysis.Complex.Basic
theorem lean_workbook_plus_48770 : (2549^3 / (2547 * 2548) - 2547^3 / (2548 * 2549)) > 8 := by sorry