lean_workbook_plus_78744

Proved

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

Prove that $a^4+b^3+c^2 \geq a^3+b^2+c$ , given $a;b;c>0$ such that $a+b+c \geq 3$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_78744 (a b c : ℝ) (ha : a > 0 ∧ b > 0 ∧ c > 0 ∧ a + b + c ≥ 3) : a^4 + b^3 + c^2 ≥ a^3 + b^2 + c   :=  by sorry

Source