lean_workbook_plus_31376

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by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that $f(x) = \cos(\arcsin x) - \sqrt{1-x^2}$ is a constant function

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_31376 x y : cos (arcsin x) - Real.sqrt (1 - x ^ 2) = cos (arcsin y) - Real.sqrt (1 - y ^ 2)   :=  by sorry

Source