lean_workbook_plus_1202
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.
Why this node was retired
The posted statement is
theorem lean_workbook_plus_1202 (x : ℝ) (hx : x ≠ 1) (h : 128 * (x - 1) * Real.sqrt (x ^ 2 - x) = 17 * x ^ 2) : x = 2 := by sorry
The source equation was supplied without a classification; the inserted answer2 misses the valid root0.
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 find-all/evaluation task without the inserted answer; prove the resulting characterization in both directions. No replacement fixed answer is asserted here. Original task:
Require x²−x≥0 for the genuine radical domain.
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_1202 (x : ℝ) (hx : x ≠ 1) (h : 128 * (x - 1) * Real.sqrt (x ^ 2 - x) = 17 * x ^ 2) : x = 2 := by sorry