lean_workbook_plus_79442

Proved

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

Let $a,b,c\geq \frac{3}{2}.$ Prove that $a+2b+3c\geq \frac{27}{16}\left( \frac{1}{a}- \frac{2}{b}+ \frac{3}{c}+4 \right)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_79442 (a b c : ℝ) (ha : 3 / 2 ≤ a) (hb : 3 / 2 ≤ b) (hc : 3 / 2 ≤ c) : a + 2 * b + 3 * c ≥ 27 / 16 * (1 / a - 2 / b + 3 / c + 4)   :=  by sorry

Source

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

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