∀ (C : Type u_2) [inst : CategoryTheory.Category.{u_1, u_2} C] (D : Type u_4)
  [inst_1 : CategoryTheory.Category.{u_3, u_4} D] {X Y : CategoryTheory.Functor C D} (η : X ⟶ Y)
  ⦃X_1 Y_1 : CategoryTheory.SimplicialObject.Augmented C⦄ (f : X_1 ⟶ Y_1),
  CategoryTheory.CategoryStruct.comp ((CategoryTheory.SimplicialObject.Augmented.whiskeringObj C D X).map f)
      { left := CategoryTheory.Functor.whiskerLeft (CategoryTheory.SimplicialObject.Augmented.drop.obj Y_1) η,
        right := η.app (CategoryTheory.SimplicialObject.Augmented.point.obj Y_1), w := ⋯ } =
    CategoryTheory.CategoryStruct.comp
      { left := CategoryTheory.Functor.whiskerLeft (CategoryTheory.SimplicialObject.Augmented.drop.obj X_1) η,
        right := η.app (CategoryTheory.SimplicialObject.Augmented.point.obj X_1), w := ⋯ }
      ((CategoryTheory.SimplicialObject.Augmented.whiskeringObj C D Y).map f)