lean_workbook_plus_40606

Proved

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

Let $a;b;c;d>0$ .Prove that: \n\n $\frac{16}{1+abcd}\leq\frac{8}{\sqrt{abcd}}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_40606 (a b c d : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) (hd : 0 < d) : 16 / (1 + a * b * c * d) ≤ 8 / Real.sqrt (a * b * c * d)   :=  by sorry

Source

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

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