∀ {C : Type u₂} [inst : CategoryTheory.Category.{v₂, u₂} C] {D : Type u₃} [inst_1 : CategoryTheory.Category.{v₃, u₃} D]
  {E : Type u₄} [inst_2 : CategoryTheory.Category.{v₄, u₄} E] (F : CategoryTheory.Functor (C × D) E) (X : C) {X_1 Y : D}
  (g : X_1 ⟶ Y),
  ((CategoryTheory.Functor.currying.inverse.obj F).obj X).map g =
    F.map (CategoryTheory.Prod.mkHom (CategoryTheory.CategoryStruct.id X) g)