∀ {C : Type u_3} [inst : CategoryTheory.Category.{u_6, u_3} C] {D : Type u_4}
  [inst_1 : CategoryTheory.Category.{u_5, u_4} D] {F F' : CategoryTheory.Functor C D} (e : F ≅ F') (A : Type u_2)
  [inst_2 : CategoryTheory.Category.{u_1, u_2} A] (J : CategoryTheory.GrothendieckTopology C)
  (K : CategoryTheory.GrothendieckTopology D) [inst_3 : F.IsContinuous J K] [inst_4 : F'.IsContinuous J K],
  CategoryTheory.CategoryStruct.comp (CategoryTheory.Functor.sheafPushforwardContinuousNatTrans e.hom A J K)
      (CategoryTheory.Functor.sheafPushforwardContinuousNatTrans e.inv A J K) =
    CategoryTheory.CategoryStruct.id (F'.sheafPushforwardContinuous A J K)