A product of nonnegative linear factors

Proved

WorkbookSource.problem_3474

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

prove that $3(5s_1-3)(s_1-3)\ge 0$ given $s_3\ge 1$ and $s_1\ge 3$

Source: InternLM Lean-Workbook, record lean_workbook_3474 (Apache-2.0). The complete source proposition and explicit variable declarations are preserved.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.problem_3474 (s₁ : ℝ) (s₃ : ℝ) : s₃ ≥ 1 ∧ s₁ ≥ 3 → 3 * (5 * s₁ - 3) * (s₁ - 3) ≥ 0  :=  by sorry

Source

https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_3474; Apache-2.0

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