{P : Sort u} →
  {R : Type u_1} →
    {inst : CommRing R} →
      {t : RingPreordering R} →
        {R' : Type u_1} →
          {inst' : CommRing R'} →
            {t' : RingPreordering R'} → R = R' → inst ≍ inst' → t ≍ t' → RingPreordering.noConfusionType P t t'