∀ {R : Type u_2} {A : Type u_1} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  (S : Subalgebra R A) (x : R) (x_1 : ↥S), S.addEquivOp.toFun (x • x_1) = S.addEquivOp.toFun (x • x_1)