lean_workbook_plus_1237

Proved

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

Let $a, b$ be positive real numbers such that $a+b\le1$ . Prove that $\dfrac{1}{a}+\dfrac{1}{b}+a^2+b^2+3a+3b\ge\dfrac{15}{2}$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_1237 (a b : ℝ) (ha : 0 < a) (hb : 0 < b) (hab : a + b ≤ 1) : 1 / a + 1 / b + a ^ 2 + b ^ 2 + 3 * a + 3 * b ≥ 15 / 2   :=  by sorry

Source

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

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