Prove2Me

lean_workbook_plus_10132

Proved

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

prove that: \n\n c2a2+b2d2+12(d2+b2)(c2+a2)≥(ab+cd)(bc+ad)c^2a^2+b^2d^2+\frac{1}{2}(d^2+b^2)(c^2+a^2)\geq (ab+cd)(bc+ad) \n\n a,b,c,d∈Ra,b,c,d \in R

Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_10132 (a b c d : ℝ) : (c^2 * a^2 + b^2 * d^2 + (1 / 2) * (d^2 + b^2) * (c^2 + a^2) ≥ (a * b + c * d) * (b * c + a * d))   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook

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