{P : Sort u} →
  {α : Type u_4} →
    {inst : TopologicalSpace α} →
      {t : TopologicalSpace.IrreducibleCloseds α} →
        {α' : Type u_4} →
          {inst' : TopologicalSpace α'} →
            {t' : TopologicalSpace.IrreducibleCloseds α'} →
              α = α' → inst ≍ inst' → t ≍ t' → TopologicalSpace.IrreducibleCloseds.noConfusionType P t t'