Prove2Me

lean_workbook_plus_8018

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

Prove that log⁡xx+1≤log⁡(x+1)x\frac{\log{x}}{x+1}\le\frac{\log(x+1)}{x}

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_8018 (x : ℝ) (hx : 0 < x) : (Real.log x) / (x + 1) ≤ (Real.log (x + 1)) / x   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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