lean_workbook_plus_78779

Proved

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

If $a , b , c \in [0,1]$ , prove that : $ab + bc + ca \leq 2abc + 1$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_78779 (a b c : ℝ) (ha : a ∈ Set.Icc 0 1) (hb : b ∈ Set.Icc 0 1) (hc : c ∈ Set.Icc 0 1) : a * b + b * c + c * a ≤ 2 * a * b * c + 1   :=  by sorry

Source

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

View graph