lean_workbook_plus_14433

Proved

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

Prove that $(a-1)^{2}+(b-1)^{2}+(c-1)^{2} = 9$ given $a+b+c=6$ and $ab+bc+ca=9$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14433 (a b c : ℝ) (h₁ : a + b + c = 6) (h₂ : a * b + b * c + c * a = 9) : (a - 1) ^ 2 + (b - 1) ^ 2 + (c - 1) ^ 2 = 9   :=  by sorry

Source

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

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