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Lean-Workbook Plus 60949: Trigonometric inequality

Proved
WorkbookRestored.plus_60949

by wamlart · Sep 12, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

lean-workbookrestored-importssource-checked

for all real number of xxx , then ∣sin⁡x∣+∣cos⁡x∣≥1\vert\sin{x}\vert + \vert\cos{x}\vert \geq 1∣sinx∣+∣cosx∣≥1.

Source: Lean-Workbook row lean_workbook_plus_60949 (Apache-2.0). The unchanged proposition comes from the original record; its missing mathematical imports and namespaces are restored here.

Preamble
import Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic
open Real
Formal statement
theorem WorkbookRestored.plus_60949 (x : ℝ) : abs (sin x) + abs (cos x) ≥ 1   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_60949; immutable original Prove2Me node 01a0a9c7-ff8b-4699-8a19-971a91c1dc38

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