lean_workbook_plus_18246

Proved

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

Prove that for any positive reals a,b and c, $\frac{a}{bc}+\frac{b}{ca}+\frac{c}{ab}\geq\frac{2}{a}+\frac{2}{b}-\frac{2}{c}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_18246 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a / b / c + b / c / a + c / a / b ≥ 2 / a + 2 / b - 2 / c   :=  by sorry

Source

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

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