∀ {n : Type u_1} {R : Type u_2} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommRing R]
  [inst_3 : TopologicalSpace R] {α : Type u_3} [inst_4 : TopologicalSpace α] (f : α → Matrix.SpecialLinearGroup n R),
  Continuous f → ∀ (i : n), Continuous fun x => ↑(f x) i