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lean_workbook_plus_42059

Proved

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

Prove yn−1⩾n(y−1)y^{n}-1\geqslant n(y-1)yn−1⩾n(y−1) for y>0y>0y>0.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_42059 (y : ℝ) (n : ℕ) (hy : y > 0) : y ^ n - 1 ≥ n * (y - 1)   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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