lean_workbook_plus_1297

Proved

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

Given $a,b,c,>0$ such that: $a^2+b^2+c^2+abc=4$ . Prove that $a+b+c \leq 3$ . ( $p,q,r$ is useful).

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1297 (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 + a * b * c = 4) : a + b + c ≤ 3   :=  by sorry

Source

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

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