{R : Type u_1} →
  {A : Type u_2} →
    [inst : CommRing R] →
      [inst_1 : Ring A] →
        [inst_2 : Algebra R A] →
          {c₁ c₂ c₃ : R} → QuaternionAlgebra.Basis A c₁ c₂ c₃ → QuaternionAlgebra R c₁ c₂ c₃ →ₐ[R] A