Prove2Me

lean_workbook_plus_1383

Proved

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

Prove that x24+y2+z2≥xy−xz+2yz.\dfrac{x^2}{4} + y^2 + z^2\ge xy - xz + 2yz.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_1383 (x y z : ℝ) : (x ^ 2 / 4 + y ^ 2 + z ^ 2) ≥ x * y - x * z + 2 * y * z   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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