lean_workbook_plus_41922
OpenProve that
Preamble
import Mathlib.Analysis.Complex.Basic
Formal statement
theorem lean_workbook_plus_41922 : ∀ x : ℝ, (cos x)^3 - (cos x)^2 = (cos x)^2 * (cos x - 1) ∧ (cos x)^2 * (cos x - 1) ≤ 0 := by sorry
Source
Prove that
import Mathlib.Analysis.Complex.Basic
theorem lean_workbook_plus_41922 : ∀ x : ℝ, (cos x)^3 - (cos x)^2 = (cos x)^2 * (cos x - 1) ∧ (cos x)^2 * (cos x - 1) ≤ 0 := by sorry