∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {X Y : C} {f : X ⟶ Y}
  {inst_1 : HomotopicalAlgebra.CategoryWithWeakEquivalences C} [self : HomotopicalAlgebra.WeakEquivalence f],
  HomotopicalAlgebra.weakEquivalences C f