{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    AugmentedSimplexCategory.equivAugmentedSimplicialObject.functor.comp
        CategoryTheory.SimplicialObject.Augmented.drop ≅
      (CategoryTheory.Functor.whiskeringLeft SimplexCategoryᵒᵖ AugmentedSimplexCategoryᵒᵖ C).obj
        AugmentedSimplexCategory.inclusion.op