lean_workbook_plus_4057

Proved

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

Prove that $\frac{a}{2a+1}+\frac{b}{2b+1}+\frac{c}{2c+1}\geq 1$ given $a,b,c \ge 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_4057 (a b c : ℝ) (ha : 1 ≤ a) (hb : 1 ≤ b) (hc : 1 ≤ c) : (a / (2 * a + 1) + b / (2 * b + 1) + c / (2 * c + 1)) ≥ 1   :=  by sorry

Source

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

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