{P : Sort u} →
  {α : Type u_2} →
    {inst : TopologicalSpace α} →
      {inst_1 : LE α} →
        {t : ClopenUpperSet α} →
          {α' : Type u_2} →
            {inst' : TopologicalSpace α'} →
              {inst'_1 : LE α'} →
                {t' : ClopenUpperSet α'} →
                  α = α' → inst ≍ inst' → inst_1 ≍ inst'_1 → t ≍ t' → ClopenUpperSet.noConfusionType P t t'