∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] (G : CategoryTheory.Functor C D)
  (K : CategoryTheory.GrothendieckTopology D) [inst_2 : G.LocallyCoverDense K] [inst_3 : G.IsLocallyFull K]
  [inst_4 : G.IsLocallyFaithful K] {X : C} (S : CategoryTheory.Sieve X),
  (S ∈ (G.inducedTopology K) X) = (CategoryTheory.Sieve.functorPushforward G S ∈ K (G.obj X))