lean_workbook_plus_12350

Proved

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

Prove for $a, b, c \in \mathbb{R^+}$ \n\n $a^3c^2 + ab^4 + 2b^2c^3 \geq 4ab^2c^2$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_12350 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) : a^3*c^2 + a*b^4 + 2*b^2*c^3 >= 4*a*b^2*c^2   :=  by sorry

Source