lean_workbook_plus_14456

Disproved

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

Let $a,b,c\ge 0$ such that: \n $a^2+c^2=1,b^2+2b(a+c)=6$ \nProve that: $b(a-c)\ge 4$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14456 (a b c : ℝ) (ha : a ≥ 0) (hb : b ≥ 0) (hc : c ≥ 0) (hab : a^2 + c^2 = 1) (hbc : b^2 + 2 * b * (a + c) = 6) : b * (a - c) ≥ 4   :=  by sorry

Source

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

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