Prove2Me

lean_workbook_plus_9621

Proved

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

Let {a,b,c}⊂[0,1]\{a,b,c\}\subset[0,1] . Prove that:\na+b+c<=2+abc

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_9621 (a b c : ℝ) (ha : a ∈ Set.Icc 0 1) (hb : b ∈ Set.Icc 0 1) (hc : c ∈ Set.Icc 0 1) : a + b + c ≤ 2 + a * b * c   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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