lean_workbook_plus_1895

Proved

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

Expanding and simplifying, we have that $a^2+2b \geq a^2+2a+1 \implies 2b \geq 2a+1$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1895  (a b : ℝ)
  (h₀ : 0 < a ∧ 0 < b)
  (h₁ : a^2 + 2 * b ≥ a^2 + 2 * a + 1) :
  2 * b ≥ 2 * a + 1   :=  by sorry

Source