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lean_workbook_plus_21620

Disproved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

⚠️ 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.

2017⋅2018(x−2016)(x−2019)=2016⋅2019(x−2017)(x−2018)2017\cdot 2018(x-2016)(x-2019)=2016\cdot 2019(x-2017)(x-2018)2017⋅2018(x−2016)(x−2019)=2016⋅2019(x−2017)(x−2018)

Why this node was retired

The posted statement is

theorem lean_workbook_plus_21620 : ∀ x : ℝ, 2017 * 2018 * (x - 2016) * (x - 2019) = 2016 * 2019 * (x - 2017) * (x - 2018)   :=  by sorry

An equation to be solved is asserted to hold identically for every x.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Solve the displayed equation or recover the preceding conditions under which it was derived; do not assert a universal polynomial identity.

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.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_21620 : ∀ x : ℝ, 2017 * 2018 * (x - 2016) * (x - 2019) = 2016 * 2019 * (x - 2017) * (x - 2018)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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