∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] {G : Type u_4} [inst_1 : CategoryTheory.Groupoid G]
  (F : CategoryTheory.Functor G C) {X Y : G} (f : X ⟶ Y),
  CategoryTheory.CategoryStruct.comp (F.map (CategoryTheory.Groupoid.inv f)) (F.map f) =
    CategoryTheory.CategoryStruct.id { of := F.obj Y }.of