lean_workbook_plus_73635

Proved

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

If $x^2y+y^2z+z^2x=3 ,x,y,z>0,$ then\n ${\frac{1}{x}}+\frac{1}{y}+\frac{1}{z}\ge{3}.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_73635 (x y z : ℝ) (hx : x > 0 ∧ y > 0 ∧ z > 0)(hab : x * y * z = 1) (h : x^2*y + y^2*z + z^2*x = 3): 1/x + 1/y + 1/z >= 3   :=  by sorry

Source

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

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