∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C) {A : Type u_1}
  {B : Type u_2} [inst_1 : CategoryTheory.Category.{v_1, u_1} A] [inst_2 : CategoryTheory.Category.{v_2, u_2} B]
  (F : CategoryTheory.Functor A B)
  {G₁ : CategoryTheory.Functor (CategoryTheory.Functor Cᵒᵖ A) (CategoryTheory.Sheaf J A)}
  (adj₁ : G₁ ⊣ CategoryTheory.sheafToPresheaf J A)
  {G₂ : CategoryTheory.Functor (CategoryTheory.Functor Cᵒᵖ B) (CategoryTheory.Sheaf J B)}
  (adj₂ : G₂ ⊣ CategoryTheory.sheafToPresheaf J B) [inst_3 : J.HasSheafCompose F] [J.PreservesSheafification F],
  CategoryTheory.IsIso (CategoryTheory.sheafComposeNatTrans J F adj₁ adj₂)