{α : Type u_1} →
  {β : Type u_2} →
    [inst : Field α] →
      [inst_1 : LinearOrder α] →
        [inst_2 : IsStrictOrderedRing α] →
          [inst_3 : Ring β] → {abv : β → α} → [IsAbsoluteValue abv] → Sub (CauSeq β abv)