∀ (R : Type u_1) (A : Type w) [inst : CommRing R] [inst_1 : CommRing A] [inst_2 : Algebra R A]
  [inst_3 : FaithfulSMul R A] [inst_4 : NoZeroDivisors A],
  AlgebraicIndependent.indepMatroid✝ R A = AlgebraicIndependent.indepMatroid✝¹ R A