lean_workbook_plus_11443

Proved

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

Prove that $2x - 3y + 4z \leq 6$ for non-negative real numbers $x, y, z$ satisfying $3x + 5y + 7z = 10$ and $x + 2y + 5z = 6$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_11443 (x y z : ℝ) (hx : 0 ≤ x) (hy : 0 ≤ y) (hz : 0 ≤ z) (h : 3*x + 5*y + 7*z = 10) (h' : x + 2*y + 5*z = 6) : 2*x - 3*y + 4*z ≤ 6   :=  by sorry

Source

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

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