Prove2Me

lean_workbook_plus_44940

Disproved

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

Find the value of −1−(a−1)(b−1)(c−1)=ab+bc+ca−abc -1-(a-1)(b-1)(c-1)=ab+bc+ca-abc given a+b+c=3 a+b+c=3 and a,b,c>0 a, b, c > 0.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_44940 (a b c : ℝ) (ha : a > 0) (hb : b > 0) (hc : c > 0) (hab : a + b + c = 3) : -1 - (a - 1) * (b - 1) * (c - 1) = a * b + b * c + c * a - a * b * c   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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