lean_workbook_plus_67512

Disproved

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

We have $g(x)-f(x) = 10x^{11}+x^{10}-9x^9 = x^9(10x-9)(x+1)$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_67512  (x : ℝ)
  (f g : ℝ → ℝ)
  (h₀ : ∀ x, f x = x^9 * (x + 1))
  (h₁ : ∀ x, g x = x^10 - 9 * x^9 + 10 * x^11)
  (h₂ : 0 < x) :
  g x - f x = x^9 * (10 * x - 9) * (x + 1)   :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook

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