Prove2Me

lean_workbook_plus_19977

Disproved

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

1+abca+b+c≤38a+b+c≤14\frac{1+abc}{a+b+c} \le \frac{\frac{3}{8}}{a+b+c} \le \frac{1}{4}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_19977 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : (1 + a * b * c) / (a + b + c) ≤ (3 / 8) / (a + b + c) ∧ (3 / 8) / (a + b + c) ≤ 1 / 4   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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