∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : C}
  [inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C] {P : HomotopicalAlgebra.Cylinder A}
  [inst_2 : CategoryTheory.Limits.HasBinaryCoproduct A A] [inst_3 : HomotopicalAlgebra.CategoryWithCofibrations C]
  [inst_4 : HomotopicalAlgebra.CategoryWithFibrations C],
  autoParam (HomotopicalAlgebra.Cofibration P.i) HomotopicalAlgebra.Cylinder.IsGood.cofibration_i._autoParam →
    autoParam (HomotopicalAlgebra.Fibration P.π) HomotopicalAlgebra.Cylinder.IsVeryGood.fibration_π._autoParam →
      P.IsVeryGood