∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {J : CategoryTheory.GrothendieckTopology C} {K : CategoryTheory.GrothendieckTopology D}
  {F : CategoryTheory.Functor C D} {S : CategoryTheory.Sheaf J RingCat} {R : CategoryTheory.Sheaf K RingCat}
  [inst_2 : F.IsContinuous J K] [inst_3 : F.IsContinuous J K] (φ : S ⟶ (F.sheafPushforwardContinuous RingCat J K).obj R)
  [(PresheafOfModules.pushforward φ.val).IsRightAdjoint] [CategoryTheory.HasWeakSheafify K AddCommGrpCat]
  [K.WEqualsLocallyBijective AddCommGrpCat], (SheafOfModules.pushforward φ).IsRightAdjoint