∀ {F : Type u_2} {R : Type u_4} [inst : Monoid R] {A : Type u_3} {B : Type u_1} [inst_1 : NonUnitalNonAssocSemiring A]
  [inst_2 : DistribMulAction R A] [inst_3 : NonUnitalNonAssocSemiring B] [inst_4 : DistribMulAction R B]
  [inst_5 : FunLike F A B] [NonUnitalAlgHomClass F R A B] (f : F) (c : R) (x : A), f (c • x) = (MonoidHom.id R) c • f x