(α : Type u_6) →
  (β : Type u_7) →
    {inst : Preorder α} →
      {inst_1 : Preorder β} →
        {inst_2 : BoundedOrder α} → {inst_3 : BoundedOrder β} → [SizeOf α] → [SizeOf β] → SizeOf (BoundedOrderHom α β)