∀ {F : Type u_1} {R : outParam (Type u_2)} {inst : SeminormedCommRing R} {S : outParam (Type u_3)} {inst_1 : Ring S}
  {inst_2 : Algebra R S} {inst_3 : FunLike F S ℝ} [self : AlgebraNormClass F R S], RingNormClass F S ℝ