Prove2Me

lean_workbook_plus_35509

Proved

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

Prove that (bd(a+c)+ac(b+d))2≤2b2d2(a+c)2+2a2c2(b+d)2(bd(a+c)+ac(b+d))^2 \leq 2b^2d^2(a+c)^2 + 2a^2c^2(b+d)^2.

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_35509 (a b c d : ℝ) : (b * d * (a + c) + a * c * (b + d))^2 ≤ 2 * b^2 * d^2 * (a + c)^2 + 2 * a^2 * c^2 * (b + d)^2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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