lean_workbook_plus_8485

Proved

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

Let a,b,c be positive reals such that ${a^2} + {b^2} + {c^2} + \frac{3}{2}abc = \frac{9}{2}$ \nProve that : $a+b+c \le 3$ \nHave fun

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_8485 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) (habc : a * b * c = 1) (h : a^2 + b^2 + c^2 + (3 / 2) * a * b * c = 9 / 2) : a + b + c ≤ 3   :=  by sorry

Source

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

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