{ι : Type u_6} →
  {F : ι → Type u_7} →
    {X : ι → Type u_8} →
      {i : ι} →
        [inst : LinearOrder ι] →
          {f : ⦃i j : ι⦄ → i ≤ j → F j → F i} →
            {equiv : (j : ↑(Set.Iio i)) → F ↑j ≃ InverseSystem.piLT X ↑j} →
              InverseSystem.IsNatEquiv f equiv →
                F i ≃ ↑(InverseSystem.limit f i) →
                  Order.IsSuccPrelimit i → (j : ↑(Set.Iic i)) → F ↑j ≃ InverseSystem.piLT X ↑j