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lean_workbook_plus_82162

Proved

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

proofwiki

Prove that 12((a−b)2+(b−c)2+(c−a)2)≥0\frac 12 \left( (a-b)^2 + (b-c)^2 + (c-a)^2 \right) \geq 021​((a−b)2+(b−c)2+(c−a)2)≥0.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_82162 {a b c : ℝ} : 0.5 * ((a - b) ^ 2 + (b - c) ^ 2 + (c - a) ^ 2) ≥ 0   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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