∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z)
  [inst_1 : CategoryTheory.ChosenPullbacksAlong f] [inst_2 : CategoryTheory.ChosenPullbacksAlong g]
  [inst_3 : CategoryTheory.ChosenPullbacksAlong (CategoryTheory.CategoryStruct.comp f g)]
  {Z_1 : CategoryTheory.Functor (CategoryTheory.Over X) (CategoryTheory.Over X)}
  (h :
    (CategoryTheory.Over.map (CategoryTheory.CategoryStruct.comp f g)).comp
        ((CategoryTheory.ChosenPullbacksAlong.pullback g).comp (CategoryTheory.ChosenPullbacksAlong.pullback f)) ⟶
      Z_1),
  CategoryTheory.CategoryStruct.comp
      (CategoryTheory.ChosenPullbacksAlong.mapPullbackAdj (CategoryTheory.CategoryStruct.comp f g)).unit
      (CategoryTheory.CategoryStruct.comp
        ((CategoryTheory.Over.map (CategoryTheory.CategoryStruct.comp f g)).whiskerLeft
          (CategoryTheory.ChosenPullbacksAlong.pullbackComp f g).hom)
        h) =
    CategoryTheory.CategoryStruct.comp
      (CategoryTheory.ChosenPullbacksAlong.mapPullbackAdj (CategoryTheory.CategoryStruct.comp f g)).unit h