Prove2Me

lean_workbook_plus_51023

Proved

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

(x+y+z−3)[(x+y+z)2+3(x+y+z)+36]≥0⇒x+y+z≥3 (x+y+z-3)[(x+y+z)^2+3(x+y+z)+36]\ge 0 \Rightarrow x+y+z \ge 3

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_51023 : ∀ x y z : ℝ, (x+y+z-3)*((x+y+z)^2+3*(x+y+z)+36) ≥ 0 → x+y+z ≥ 3   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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