{P : Sort u} →
  {α : Type u_2} →
    {inst : Lattice α} →
      {t : Sublattice α} →
        {α' : Type u_2} →
          {inst' : Lattice α'} →
            {t' : Sublattice α'} → α = α' → inst ≍ inst' → t ≍ t' → Sublattice.noConfusionType P t t'