Prove2Me

lean_workbook_plus_49234

Proved

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

Prove that a2+b2+c2+2ab+2ac+2bc=(a+b+c)2≥0a^2+b^2+c^2+2ab+2ac+2bc =(a+b+c)^2\geq 0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_49234 : ∀ a b c : ℝ, a^2 + b^2 + c^2 + 2 * a * b + 2 * a * c + 2 * b * c = (a + b + c)^2 ∧ (a + b + c)^2 ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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