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Lean-Workbook Plus 50659: Trigonometric identity

Proved
WorkbookRestored.plus_50659

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

lean-workbookrestored-importssource-checked

For real x,yx,y, sinh⁡(x+y)=sinh⁡xcosh⁡y+sinh⁡ycosh⁡x\sinh(x+y)=\sinh x\cosh y+\sinh y\cosh x.

Source: Lean-Workbook row lean_workbook_plus_50659 (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_50659 (x y : ℝ) : sinh (x + y) = sinh x * cosh y + sinh y * cosh x   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_50659; immutable original Prove2Me node 9779e17c-2760-48c9-84f7-e71eae381ece

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