lean_workbook_plus_52571

Proved

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

Let $x,y,z>0$ such that $2x+4y+7z=2xyz$ . Find min $P=x+y+z$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_52571 (x y z P: ℝ) (hx : 0 < x) (hy : 0 < y) (hz : 0 < z) (hP: P = x + y + z) (h : 2*x + 4*y + 7*z = 2*x*y*z) : P >= 3   :=  by sorry

Source

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

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