∀ {K : Type u_2} {V : Type u_1} [inst : DivisionRing K] [inst_1 : AddCommGroup V] [inst_2 : Module K V]
  [FiniteDimensional K V] (f : V →ₗ[K] V), Function.Injective ⇑f → Function.Injective ⇑f ∧ Function.Surjective ⇑f