Prove2Me

lean_workbook_plus_18108

Proved

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

Just x2+y2+z2≥xy+yz+zxx^2 + y^2 + z^2 \geq xy + yz + zx which is (x−y)2+(y−z)2+(z−x)2≥0(x-y)^2 + (y-z)^2 +(z-x)^2 \geq 0

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_18108 : ∀ (x y z: ℝ), x ^ 2 + y ^ 2 + z ^ 2 ≥ x * y + y * z + z * x   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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