lean_workbook_plus_46535

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

Find the minimum value of $\frac{9x^2sin^2x+4}{xsinx}$ for $0<x<\pi$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46535 (x : ℝ) (hx : 0 < x ∧ x < π) : (9 * (x ^ 2 * (sin x) ^ 2) + 4) / (x * sin x) ≥ 12   :=  by sorry

Source