lean_workbook_plus_63918

Proved

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

If a,b,c,d are real numbers all greater than 1, Then prove that $8(abcd+1)>(a+1)(b+1)(c+1)(d+1)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_63918 (a b c d : ℝ) (ha : 1 < a) (hb : 1 < b) (hc : 1 < c) (hd : 1 < d) : 8 * (a * b * c * d + 1) > (a + 1) * (b + 1) * (c + 1) * (d + 1)   :=  by sorry

Source

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

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