Lean-Workbook Plus 2102: Trigonometric identity
ProvedWorkbookRestored.plus_2102lean-workbookrestored-importssource-checked
For every real angle , the double-angle identity is , with the usual total real operations used by Lean.
Source: Lean-Workbook row lean_workbook_plus_2102 (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_2102 (θ : ℝ) : sin (2 * θ) = 2 * tan θ / (1 + tan θ ^ 2) := by sorry
Source