∀ {k : Type u_1} {V : Type u_2} {P : Type u_5} [inst : Ring k] [inst_1 : AddCommGroup V] [inst_2 : Module k V]
  [inst_3 : AddTorsor V P] {n : ℕ} (points : Fin (n + 1) → P) (independent : AffineIndependent k points)
  (points_1 : Fin (n + 1) → P) (independent_1 : AffineIndependent k points_1),
  ({ points := points, independent := independent } = { points := points_1, independent := independent_1 }) =
    (points = points_1)