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lean_workbook_plus_73132

Proved

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

squaring again and factorizing we obtain \n (9 x6−90 x5+431 x4−1100 x3+1927 x2−2394 x+2241)(x−1)2≥0\left( 9\,{x}^{6}-90\,{x}^{5}+431\,{x}^{4}-1100\,{x}^{3}+1927\,{x}^{2}-2394\,x+2241 \right) \left( x-1 \right) ^{2} \geq 0(9x6−90x5+431x4−1100x3+1927x2−2394x+2241)(x−1)2≥0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_73132 :  ∀ x : ℝ, (9*x^6 - 90*x^5 + 431*x^4 - 1100*x^3 + 1927*x^2 - 2394*x + 2241) * (x - 1)^2 ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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