∀ {F : Type u_3} {α : outParam (Type u_4)} {β : outParam (Type u_5)} [inst : PseudoEMetricSpace α]
  [inst_1 : PseudoEMetricSpace β] [inst_2 : FunLike F α β], (∀ (f : F), Isometry ⇑f) → IsometryClass F α β