∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {A : C}
  [inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C] (P P_1 : HomotopicalAlgebra.PathObject A),
  P = P_1 →
    ∀ [inst_2 : CategoryTheory.Limits.HasBinaryProduct A A] [inst_3 : HomotopicalAlgebra.CategoryWithFibrations C],
      P.IsGood = P_1.IsGood