lean_workbook_plus_54138

Disproved

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

Let be a,b and c non-negative reals numbers. Show that\n\n $\frac{b+c}{a^{2}}+\frac{a+c}{b^{2}}+\frac{a+b}{c^{2}}\geq2(\frac{1}{a}+\frac{1}{b}+\frac{1}{c})$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_54138 : ∀ a b c : ℝ, a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 → (b + c) / a ^ 2 + (a + c) / b ^ 2 + (a + b) / c ^ 2 ≥ 2 * (1 / a + 1 / b + 1 / c)   :=  by sorry

Source

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

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