∀ {V : Type u_1} [inst : CategoryTheory.ReflQuiver V] {x y z : CategoryTheory.Paths V} (p : x ⟶ y) (q : y ⟶ z),
  (CategoryTheory.Cat.FreeRefl.quotientFunctor V).map (Quiver.Path.cons p q) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.Cat.FreeRefl.quotientFunctor V).map p)
      (CategoryTheory.Cat.FreeRefl.homMk q)