lean_workbook_plus_71999

Proved

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

Prove the inequality $(a^2+1)(b^2+1)(c^2+1) \ge (ab+1)(bc+1)(ca+1)$ is true for all positive real numbers $a$ , $b$ , $c$ with equality holding at $a=b=c$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_71999 (a b c : ℝ) : (a^2 + 1) * (b^2 + 1) * (c^2 + 1) ≥ (a * b + 1) * (b * c + 1) * (c * a + 1)   :=  by sorry

Source

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

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