∀ {α : Type u_1} {β : Type u_2} [inst : Field α] [inst_1 : LinearOrder α] [inst_2 : IsStrictOrderedRing α]
  [inst_3 : Ring β] [IsDomain β] (abv : β → α) [inst_5 : IsAbsoluteValue abv], ¬CauSeq.const abv 1 ≈ CauSeq.const abv 0