Prove2Me

Lean-Workbook Plus 15750: Trigonometric identity

Proved
WorkbookRestored.plus_15750

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

lean-workbookrestored-importssource-checked

Prove that: arccos⁡x+arcsin⁡x=π2\arccos x+\arcsin x= \frac{\pi}{2}

Source: Lean-Workbook row lean_workbook_plus_15750 (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.Inverse
open Real
Formal statement
theorem WorkbookRestored.plus_15750 (x : ℝ) : Real.arccos x + Real.arcsin x = π/2   :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, row lean_workbook_plus_15750; immutable original Prove2Me node 6693f96c-e2bd-4c8a-98e5-eb8c1ff7a8eb

View graph