∀ {F : Type u_1} {R : Type u_2} {A : Type u_3} {B : Type u_4} [inst : Monoid R] [inst_1 : NonUnitalNonAssocSemiring A]
  [inst_2 : DistribMulAction R A] [inst_3 : Star A] [inst_4 : NonUnitalNonAssocSemiring B]
  [inst_5 : DistribMulAction R B] [inst_6 : Star B] [inst_7 : FunLike F A B] [inst_8 : NonUnitalAlgHomClass F R A B]
  [inst_9 : StarHomClass F A B] (f f_1 : F), f = f_1 → ↑f = ↑f_1