∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {W : CategoryTheory.MorphismProperty C} {X Y Y' : C}
  {f f' : X ⟶ Y'} {s : Y ⟶ Y'} {hs : W s} {Y'_1 : C} {f_1 f'_1 : X ⟶ Y'_1} {s_1 : Y ⟶ Y'_1} {hs_1 : W s_1},
  { Y' := Y', f := f, f' := f', s := s, hs := hs } = { Y' := Y'_1, f := f_1, f' := f'_1, s := s_1, hs := hs_1 } →
    Y' = Y'_1 ∧ f ≍ f_1 ∧ f' ≍ f'_1 ∧ s ≍ s_1