lean_workbook_plus_26353

Proved

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

Prove that $(x + 1)(y + 2)(z + 3) \geq 8$ for non-negative real numbers $x, y, z$ with $x + y + z = 1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26353 (x y z : ℝ) (hx : x ≥ 0) (hy : y ≥ 0) (hz : z ≥ 0) (h : x + y + z = 1) : (x + 1) * (y + 2) * (z + 3) ≥ 8   :=  by sorry

Source

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

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