∀ (R : Type u_1) (S : Type u_2) (A : Type u_4) [inst : Semiring A] [inst_1 : CommSemiring S] [inst_2 : Algebra S A]
  [inst_3 : CommSemiring R] [inst_4 : Algebra R S] (r : R) (x : RestrictScalars R S A),
  (RestrictScalars.ringEquiv R S A) (r • x) = (algebraMap R S) r • (RestrictScalars.ringEquiv R S A) x