∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C} {X Y Y' : C}
  (f f_1 : X ⟶ Y'),
  f = f_1 →
    ∀ (f' f'_1 : X ⟶ Y'),
      f' = f'_1 →
        ∀ (s s_1 : Y ⟶ Y') (e_s : s = s_1) (hs : W s),
          { Y' := Y', f := f, f' := f', s := s, hs := hs } = { Y' := Y', f := f_1, f' := f'_1, s := s_1, hs := ⋯ }