lean_workbook_plus_46145

Proved

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

Prove that if $a,b,c > 0$ and $a + b + c = 3$ then: $a^4 + b^4 + c^4 \ge a^3 + b^3 + c^3$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_46145 (a b c : ℝ) (ha : 0 < a) (hb : 0 < b) (hc : 0 < c) (habc : a + b + c = 3) : a^4 + b^4 + c^4 ≥ a^3 + b^3 + c^3   :=  by sorry

Source

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

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