{X : Type u_5} →
  {inst : TopologicalSpace X} →
    {P : Sort u} →
      {toSetoid : Setoid X} →
        {isOpen_setOf_rel : ∀ (x : X), IsOpen (setOf (toSetoid x))} →
          {toSetoid' : Setoid X} →
            {isOpen_setOf_rel' : ∀ (x : X), IsOpen (setOf (toSetoid' x))} →
              { toSetoid := toSetoid, isOpen_setOf_rel := isOpen_setOf_rel } =
                  { toSetoid := toSetoid', isOpen_setOf_rel := isOpen_setOf_rel' } →
                (toSetoid ≍ toSetoid' → P) → P