lean_workbook_plus_26332

Proved

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

prove that: $\frac{7}{16}(a^2+c^2+b^2+d^2)^2 \geq d^2a^2+c^2a^2+a^2b^2+b^2c^2+c^2d^2+b^2d^2+abcd$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_26332 (a b c d : ℝ) : (7 / 16) * (a ^ 2 + b ^ 2 + c ^ 2 + d ^ 2) ^ 2 ≥ d ^ 2 * a ^ 2 + c ^ 2 * a ^ 2 + a ^ 2 * b ^ 2 + b ^ 2 * c ^ 2 + c ^ 2 * d ^ 2 + b ^ 2 * d ^ 2 + a * b * c * d   :=  by sorry

Source

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

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