Prove2Me

lean_workbook_plus_10226

Proved

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

 ⟺  ∑cyc (a−1)2(a−12)2≥0\, \Longleftrightarrow \, \, \sum_\textrm{cyc }\left( a-1 \right)^{2}\left( a-\frac12 \right)^{2}\geq 0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_10226 (a b c : ℝ) : (a - 1) ^ 2 * (a - 1 / 2) ^ 2 + (b - 1) ^ 2 * (b - 1 / 2) ^ 2 + (c - 1) ^ 2 * (c - 1 / 2) ^ 2 ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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