lean_workbook_plus_78132

Proved

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

Let $a,b,c\geq \frac{3}{2}.$ Prove that $a+b+c\geq \frac{3}{2}\left( \frac{1}{a}+ \frac{1}{b}+ \frac{1}{c}+1\right)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_78132 (a b c : ℝ) (ha : 3 / 2 ≤ a) (hb : 3 / 2 ≤ b) (hc : 3 / 2 ≤ c) : a + b + c ≥ 3 / 2 * (1 / a + 1 / b + 1 / c + 1)   :=  by sorry

Source

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

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