∀ {m : Type u_2} {n : Type u_3} (R : Type u_5) [inst : CommSemiring R] [inst_1 : Fintype n] [inst_2 : DecidableEq n]
  [inst_3 : Fintype m] [inst_4 : DecidableEq m] [inst_5 : StarRing R] (x : Matrix (m × n) (m × n) R),
  (Matrix.kroneckerStarAlgEquiv m n R).symm x = (kroneckerLinearEquiv m m n n R).symm x