{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {X Y : C} →
      {f : X ⟶ Y} →
        [inst_1 : HomotopicalAlgebra.CategoryWithCofibrations C] →
          {motive : HomotopicalAlgebra.Cofibration f → Sort u_1} →
            (t : HomotopicalAlgebra.Cofibration f) → ((mem : HomotopicalAlgebra.cofibrations C f) → motive ⋯) → motive t