lean_workbook_plus_73565

Proved

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

Given that $xy = \dfrac32$ and both $x$ and $y$ are nonnegative real numbers, find the minimum value of $10x + \dfrac{3y}5.$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_73565 (x y : ℝ) (h₁ : x * y = 3 / 2) (h₂ : 0 ≤ x) (h₃ : 0 ≤ y) : 6 ≤ 10 * x + 3 * y / 5   :=  by sorry

Source