{P : Sort u} →
  {α : Type u_6} →
    {β : Type u_7} →
      {inst : Preorder α} →
        {inst_1 : Preorder β} →
          {t : PseudoEpimorphism α β} →
            {α' : Type u_6} →
              {β' : Type u_7} →
                {inst' : Preorder α'} →
                  {inst'_1 : Preorder β'} →
                    {t' : PseudoEpimorphism α' β'} →
                      α = α' →
                        β = β' → inst ≍ inst' → inst_1 ≍ inst'_1 → t ≍ t' → PseudoEpimorphism.noConfusionType P t t'