lean_workbook_plus_3775

Proved

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

Without loss of generality, let $a_1\ge a_2 \ge ... \ge a_n$ . \n\nThen clearly, $a_1-1\ge a_2-1\ge ... \ge a_n-1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_3775  (n : ℕ)
  (a : ℕ → ℕ)
  (h₀ : 0 < n)
  (h₁ : ∀ i, 0 < i → a i ≥ a (i + 1)) :
  ∀ i, 0 < i → a i - 1 ≥ a (i + 1) - 1   :=  by sorry

Source

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

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