∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {X Y : C} (f : X ⟶ Y)
  [inst_1 : HomotopicalAlgebra.CategoryWithFibrations C] [inst_2 : HomotopicalAlgebra.CategoryWithWeakEquivalences C],
  HomotopicalAlgebra.trivialFibrations C f ↔ HomotopicalAlgebra.Fibration f ∧ HomotopicalAlgebra.WeakEquivalence f