∀ {X : TopCat} (p₀ : ↑X) [inst : (U : TopologicalSpace.Opens ↑X) → Decidable (p₀ ∈ U)] {C : Type u_2}
  [inst_1 : CategoryTheory.Category.{u_1, u_2} C] (A : C) [inst_2 : CategoryTheory.Limits.HasTerminal C] {y : ↑X}
  (h : p₀ ⤳ y) (U V : (TopologicalSpace.OpenNhds y)ᵒᵖ) (inc : U ⟶ V),
  CategoryTheory.CategoryStruct.comp
      (((TopologicalSpace.OpenNhds.inclusion y).op.comp (skyscraperPresheaf p₀ A)).map inc) (CategoryTheory.eqToHom ⋯) =
    CategoryTheory.CategoryStruct.comp (CategoryTheory.eqToHom ⋯)
      (((CategoryTheory.Functor.const (TopologicalSpace.OpenNhds y)ᵒᵖ).obj A).map inc)