(F : Type u_1) →
  (A₁ : Type u_2) →
    (A₂ : Type u_3) →
      [inst : NonUnitalCStarAlgebra A₁] →
        [inst_1 : NonUnitalCStarAlgebra A₂] →
          [inst_2 : PartialOrder A₁] →
            [inst_3 : PartialOrder A₂] → [StarOrderedRing A₁] → [StarOrderedRing A₂] → [FunLike F A₁ A₂] → Prop