lean_workbook_plus_26009

Proved

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

Let a,b,c be any real number and a,b,c>0.prove that: \n $\frac {a}{b} + \frac {b}{c} + \frac {c}{a}\geq\frac {a + b}{b + c} + \frac {b + c}{a + b} + 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26009 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (a / b + b / c + c / a) ≥ (a + b) / (b + c) + (b + c) / (a + b) + 1   :=  by sorry

Source

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

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