lean_workbook_plus_49775

Proved

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

Hence we must prove $a^2+b^2+c^2+2bc+2ca-2c+1\ge 2ab+2bc+2ca\implies (a-b)^2+(c-1)^2\ge 0$ which is obvious

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_49775  (a b c : ℝ) :
  a^2 + b^2 + c^2 + 2 * b * c + 2 * c * a - 2 * c + 1 ≥ 2 * a * b + 2 * b * c + 2 * c * a   :=  by sorry

Source

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

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