∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Abelian C] {X : C}
  {J : Type u_3} [inst_2 : CategoryTheory.SmallCategory J] {Y : CategoryTheory.Functor J C}
  {c : CategoryTheory.Limits.Cocone Y} (z : X ⟶ c.pt) [inst_3 : CategoryTheory.Mono c.ι] (X_1 : J),
  CategoryTheory.MonoOver.homMk
      ((CategoryTheory.Limits.pullback c.ι ((CategoryTheory.Functor.const J).map z)).map
        (CategoryTheory.CategoryStruct.id X_1))
      ⋯ =
    CategoryTheory.CategoryStruct.id
      (CategoryTheory.MonoOver.mk
        ((CategoryTheory.Limits.pullback.snd c.ι ((CategoryTheory.Functor.const J).map z)).app X_1))