∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {F F' : CategoryTheory.Functor C D} (τ : F ⟶ F') (A : Type u) [inst_2 : CategoryTheory.Category.{t, u} A]
  (J : CategoryTheory.GrothendieckTopology C) (K : CategoryTheory.GrothendieckTopology D) [inst_3 : F.IsContinuous J K]
  [inst_4 : F'.IsContinuous J K] (M : CategoryTheory.Sheaf K A),
  ((CategoryTheory.Functor.sheafPushforwardContinuousNatTrans τ A J K).app M).val =
    CategoryTheory.Functor.whiskerRight (CategoryTheory.NatTrans.op τ) M.val